157996952265600 has 2304 divisors, whose sum is σ = 714250595036160. Its totient is φ = 33699815424000.

The previous prime is 157996952265599. The next prime is 157996952265637. The reversal of 157996952265600 is 6562259699751.

157996952265600 is a `hidden beast` number, since 1 + 5 + 7 + 9 + 9 + 6 + 9 + 5 + 2 + 2 + 6 + 5 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5132922210 + ... + 5132952990.

It is an arithmetic number, because the mean of its divisors is an integer number (310004598540).

Almost surely, 2^{157996952265600} is an apocalyptic number.

157996952265600 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 157996952265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357125297518080).

157996952265600 is an abundant number, since it is smaller than the sum of its proper divisors (556253642770560).

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

157996952265600 is a wasteful number, since it uses less digits than its factorization.

157996952265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30891 (or 30862 counting only the distinct ones).

The product of its (nonzero) digits is 551124000, while the sum is 72.

The spelling of 157996952265600 in words is "one hundred fifty-seven trillion, nine hundred ninety-six billion, nine hundred fifty-two million, two hundred sixty-five thousand, six hundred".