160507217122560 has 720 divisors, whose sum is σ = 716040565333632. Its totient is φ = 33352147353600.

The previous prime is 160507217122559. The next prime is 160507217122579. The reversal of 160507217122560 is 65221712705061.

160507217122560 is a `hidden beast` number, since 1 + 6 + 0 + 5 + 0 + 72 + 1 + 7 + 12 + 2 + 560 = 666.

160507217122560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 2069251 + ... + 18035970.

Almost surely, 2^{160507217122560} is an apocalyptic number.

160507217122560 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 160507217122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358020282666816).

160507217122560 is an abundant number, since it is smaller than the sum of its proper divisors (555533348211072).

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

160507217122560 is a wasteful number, since it uses less digits than its factorization.

160507217122560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20105272 (or 20105249 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 160507217122560 in words is "one hundred sixty trillion, five hundred seven billion, two hundred seventeen million, one hundred twenty-two thousand, five hundred sixty".