987034396158720 has 3888 divisors, whose sum is σ = 4464383367251808. Its totient is φ = 207229678387200.

The previous prime is 987034396158703. The next prime is 987034396158721. The reversal of 987034396158720 is 27851693430789.

987034396158720 is a `hidden beast` number, since 9 + 8 + 7 + 0 + 3 + 4 + 39 + 6 + 1 + 587 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (987034396158721) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1642320126420 + ... + 1642320127020.

It is a 1-persistent number, because it is pandigital, but 2⋅987034396158720 = 1974068792317440 is not.

Almost surely, 2^{987034396158720} is an apocalyptic number.

987034396158720 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 987034396158720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232191683625904).

987034396158720 is an abundant number, since it is smaller than the sum of its proper divisors (3477348971093088).

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

987034396158720 is an equidigital number, since it uses as much as digits as its factorization.

987034396158720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 987034396158720 in words is "nine hundred eighty-seven trillion, thirty-four billion, three hundred ninety-six million, one hundred fifty-eight thousand, seven hundred twenty".