988073259264 has 864 divisors, whose sum is σ = 3638988208128. Its totient is φ = 250822656000.

The previous prime is 988073259253. The next prime is 988073259289. The reversal of 988073259264 is 462952370889.

988073259264 is a `hidden beast` number, since 9 + 8 + 8 + 0 + 7 + 32 + 592 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1826382834 + ... + 1826383374.

Almost surely, 2^988073259264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 988073259264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819494104064).

988073259264 is an abundant number, since it is smaller than the sum of its proper divisors (2650914948864).

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

988073259264 is a wasteful number, since it uses less digits than its factorization.

988073259264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 988073259264 in words is "nine hundred eighty-eight billion, seventy-three million, two hundred fifty-nine thousand, two hundred sixty-four".