161472890880 has 1440 divisors, whose sum is σ = 701561460600. Its totient is φ = 35375284224.

The previous prime is 161472890837. The next prime is 161472890893. The reversal of 161472890880 is 88098274161.

161472890880 is a `hidden beast` number, since 1 + 6 + 1 + 472 + 8 + 90 + 8 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 136107869184 + 25365021696 = 368928^2 + 159264^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1178634172 + ... + 1178634308.

Almost surely, 2^161472890880 is an apocalyptic number.

161472890880 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 161472890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350780730300).

161472890880 is an abundant number, since it is smaller than the sum of its proper divisors (540088569720).

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

161472890880 is a wasteful number, since it uses less digits than its factorization.

161472890880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 161472890880 in words is "one hundred sixty-one billion, four hundred seventy-two million, eight hundred ninety thousand, eight hundred eighty".