161872992000 has 720 divisors, whose sum is σ = 607212077472. Its totient is φ = 42998169600.

The previous prime is 161872991981. The next prime is 161872992013. The reversal of 161872992000 is 299278161.

161872992000 is a `hidden beast` number, since 1 + 618 + 7 + 2 + 9 + 9 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 629855872 + ... + 629856128.

Almost surely, 2^161872992000 is an apocalyptic number.

161872992000 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 161872992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303606038736).

161872992000 is an abundant number, since it is smaller than the sum of its proper divisors (445339085472).

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

161872992000 is an frugal number, since it uses more digits than its factorization.

161872992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 161872992000 in words is "one hundred sixty-one billion, eight hundred seventy-two million, nine hundred ninety-two thousand".