167812162560 has 1056 divisors, whose sum is σ = 728878728960. Its totient is φ = 35743334400.

The previous prime is 167812162559. The next prime is 167812162579. The reversal of 167812162560 is 65261218761.

167812162560 is a `hidden beast` number, since 1 + 6 + 7 + 8 + 1 + 21 + 62 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1661506510 + ... + 1661506610.

Almost surely, 2^167812162560 is an apocalyptic number.

167812162560 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 167812162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364439364480).

167812162560 is an abundant number, since it is smaller than the sum of its proper divisors (561066566400).

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

167812162560 is a wasteful number, since it uses less digits than its factorization.

167812162560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 167812162560 in words is "one hundred sixty-seven billion, eight hundred twelve million, one hundred sixty-two thousand, five hundred sixty".