157900566999168 has 192 divisors, whose sum is σ = 520490942449920. Its totient is φ = 45009772830720.

The previous prime is 157900566999151. The next prime is 157900566999179. The reversal of 157900566999168 is 861999665009751.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×157900566999168³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19240105 + ... + 26191272.

It is an arithmetic number, because the mean of its divisors is an integer number (2710890325260).

Almost surely, 2^{157900566999168} is an apocalyptic number.

157900566999168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

157900566999168 is an abundant number, since it is smaller than the sum of its proper divisors (362590375450752).

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

157900566999168 is a wasteful number, since it uses less digits than its factorization.

157900566999168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45431835 (or 45431820 counting only the distinct ones).

The product of its (nonzero) digits is 1984046400, while the sum is 81.

The spelling of 157900566999168 in words is "one hundred fifty-seven trillion, nine hundred billion, five hundred sixty-six million, nine hundred ninety-nine thousand, one hundred sixty-eight".