171157056320 has 56 divisors (see below), whose sum is σ = 411603142248. Its totient is φ = 67784960000.

The previous prime is 171157056293. The next prime is 171157056407. The reversal of 171157056320 is 23650751171.

It can be written as a sum of positive squares in 4 ways, for example, as 22358622784 + 148798433536 = 149528^2 + 385744^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2615531 + ... + 2680170.

Almost surely, 2^171157056320 is an apocalyptic number.

171157056320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

171157056320 is an abundant number, since it is smaller than the sum of its proper divisors (240446085928).

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

171157056320 is a wasteful number, since it uses less digits than its factorization.

171157056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5295819 (or 5295809 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 38.

The spelling of 171157056320 in words is "one hundred seventy-one billion, one hundred fifty-seven million, fifty-six thousand, three hundred twenty".