157668052032 has 336 divisors, whose sum is σ = 505096637760. Its totient is φ = 46730870784.

The previous prime is 157668052027. The next prime is 157668052043. The reversal of 157668052032 is 230250866751.

157668052032 is a `hidden beast` number, since 15 + 7 + 6 + 6 + 80 + 520 + 32 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82418308 + ... + 82420220.

Almost surely, 2^157668052032 is an apocalyptic number.

157668052032 is a gapful number since it is divisible by the number (12) 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 157668052032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252548318880).

157668052032 is an abundant number, since it is smaller than the sum of its proper divisors (347428585728).

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

157668052032 is a wasteful number, since it uses less digits than its factorization.

157668052032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 157668052032 in words is "one hundred fifty-seven billion, six hundred sixty-eight million, fifty-two thousand, thirty-two".