987876311040000 has 1800 divisors, whose sum is σ = 3759020976068820. Its totient is φ = 258463236096000.

The previous prime is 987876311039941. The next prime is 987876311040011. The reversal of 987876311040000 is 40113678789.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

987876311040000 is a `hidden beast` number, since 98 + 7 + 87 + 63 + 1 + 10 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 105734988693504 + 882141322346496 = 10282752^2 + 29700864^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 127200 × 76320 × 101760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 18639175679974 + ... + 18639175680026.

Almost surely, 2^{987876311040000} is an apocalyptic number.

987876311040000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987876311040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879510488034410).

987876311040000 is an abundant number, since it is smaller than the sum of its proper divisors (2771144665028820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

987876311040000 is an frugal number, since it uses more digits than its factorization.

987876311040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 987876311040000 in words is "nine hundred eighty-seven trillion, eight hundred seventy-six billion, three hundred eleven million, forty thousand".