159988010400 has 432 divisors, whose sum is σ = 596560255200. Its totient is φ = 40233646080.

The previous prime is 159988010333. The next prime is 159988010411. The reversal of 159988010400 is 4010889951.

159988010400 is a `hidden beast` number, since 1 + 599 + 8 + 8 + 0 + 10 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31324647 + ... + 31329753.

Almost surely, 2^159988010400 is an apocalyptic number.

159988010400 is a gapful number since it is divisible by the number (10) 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 159988010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298280127600).

159988010400 is an abundant number, since it is smaller than the sum of its proper divisors (436572244800).

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

159988010400 is a wasteful number, since it uses less digits than its factorization.

159988010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5381 (or 5365 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 159988010400 in words is "one hundred fifty-nine billion, nine hundred eighty-eight million, ten thousand, four hundred".