987013969920 has 2304 divisors, whose sum is σ = 4313627136000. Its totient is φ = 211805798400.

The previous prime is 987013969897. The next prime is 987013969973. The reversal of 987013969920 is 29969310789.

It is a happy number.

987013969920 is a `hidden beast` number, since 98 + 70 + 1 + 396 + 9 + 92 + 0 = 666.

987013969920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31839160305 + ... + 31839160335.

It is an arithmetic number, because the mean of its divisors is an integer number (1872234000).

Almost surely, 2^987013969920 is an apocalyptic number.

987013969920 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 987013969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156813568000).

987013969920 is an abundant number, since it is smaller than the sum of its proper divisors (3326613166080).

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

987013969920 is a wasteful number, since it uses less digits than its factorization.

987013969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 63.

The spelling of 987013969920 in words is "nine hundred eighty-seven billion, thirteen million, nine hundred sixty-nine thousand, nine hundred twenty".