161237975860800 has 252 divisors, whose sum is σ = 573769166868820. Its totient is φ = 42944924528640.

The previous prime is 161237975860781. The next prime is 161237975860859. The reversal of 161237975860800 is 8068579732161.

161237975860800 is a `hidden beast` number, since 1 + 6 + 12 + 3 + 7 + 9 + 7 + 5 + 8 + 608 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3007338652224 + 158230637208576 = 1734168^2 + 12578976^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5184234 + ... + 18690966.

Almost surely, 2^{161237975860800} is an apocalyptic number.

161237975860800 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 161237975860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286884583434410).

161237975860800 is an abundant number, since it is smaller than the sum of its proper divisors (412531191008020).

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

161237975860800 is a wasteful number, since it uses less digits than its factorization.

161237975860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13507590 (or 13507572 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 161237975860800 in words is "one hundred sixty-one trillion, two hundred thirty-seven billion, nine hundred seventy-five million, eight hundred sixty thousand, eight hundred".