988437391300800 has 1848 divisors, whose sum is σ = 4255655342845520. Its totient is φ = 225928546583040.

The previous prime is 988437391300783. The next prime is 988437391300831. The reversal of 988437391300800 is 8003193734889.

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.

988437391300800 is a `hidden beast` number, since 9 + 8 + 8 + 437 + 3 + 91 + 30 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 154350 × 43218 × 148176.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 263 ways as a sum of consecutive naturals, for example, 141205341614397 + ... + 141205341614403.

Almost surely, 2^{988437391300800} is an apocalyptic number.

988437391300800 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 988437391300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127827671422760).

988437391300800 is an abundant number, since it is smaller than the sum of its proper divisors (3267217951544720).

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

988437391300800 is an frugal number, since it uses more digits than its factorization.

988437391300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 988437391300800 in words is "nine hundred eighty-eight trillion, four hundred thirty-seven billion, three hundred ninety-one million, three hundred thousand, eight hundred".