159991977600 has 3456 divisors, whose sum is σ = 826625217600. Its totient is φ = 30098718720.

The previous prime is 159991977557. The next prime is 159991977661. The reversal of 159991977600 is 6779199951.

159991977600 is a `hidden beast` number, since 1 + 5 + 9 + 9 + 9 + 19 + 7 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

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 431 ways as a sum of consecutive naturals, for example, 8420630391 + ... + 8420630409.

Almost surely, 2^159991977600 is an apocalyptic number.

159991977600 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 159991977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413312608800).

159991977600 is an abundant number, since it is smaller than the sum of its proper divisors (666633240000).

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

159991977600 is a wasteful number, since it uses less digits than its factorization.

159991977600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 9644670, while the sum is 63.

The spelling of 159991977600 in words is "one hundred fifty-nine billion, nine hundred ninety-one million, nine hundred seventy-seven thousand, six hundred".