172352808578160 has 240 divisors, whose sum is σ = 661883884618944. Its totient is φ = 39372452794368.

The previous prime is 172352808578089. The next prime is 172352808578161. The reversal of 172352808578160 is 61875808253271.

172352808578160 is a `hidden beast` number, since 1 + 7 + 2 + 3 + 52 + 8 + 0 + 8 + 578 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172352808578161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 918727 + ... + 18588966.

Almost surely, 2^{172352808578160} is an apocalyptic number.

172352808578160 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 172352808578160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330941942309472).

172352808578160 is an abundant number, since it is smaller than the sum of its proper divisors (489531076040784).

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

172352808578160 is a wasteful number, since it uses less digits than its factorization.

172352808578160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19509472 (or 19509463 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 172352808578160 in words is "one hundred seventy-two trillion, three hundred fifty-two billion, eight hundred eight million, five hundred seventy-eight thousand, one hundred sixty".