157902159265920 has 1024 divisors, whose sum is σ = 602568784281600. Its totient is φ = 38935060217856.

The previous prime is 157902159265889. The next prime is 157902159265931. The reversal of 157902159265920 is 29562951209751.

157902159265920 is a `hidden beast` number, since 1 + 5 + 7 + 9 + 0 + 2 + 15 + 9 + 26 + 592 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7538164887 + ... + 7538185833.

It is an arithmetic number, because the mean of its divisors is an integer number (588446078400).

Almost surely, 2^{157902159265920} is an apocalyptic number.

157902159265920 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 157902159265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301284392140800).

157902159265920 is an abundant number, since it is smaller than the sum of its proper divisors (444666625015680).

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

157902159265920 is a wasteful number, since it uses less digits than its factorization.

157902159265920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21442 (or 21424 counting only the distinct ones).

The product of its (nonzero) digits is 30618000, while the sum is 63.

The spelling of 157902159265920 in words is "one hundred fifty-seven trillion, nine hundred two billion, one hundred fifty-nine million, two hundred sixty-five thousand, nine hundred twenty".