172164339360 has 288 divisors, whose sum is σ = 669923064720. Its totient is φ = 39885963264.

The previous prime is 172164339341. The next prime is 172164339371. The reversal of 172164339360 is 63933461271.

172164339360 is a `hidden beast` number, since 1 + 7 + 216 + 43 + 39 + 360 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 58856700816 + 113307638544 = 242604^2 + 336612^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47746 + ... + 588734.

Almost surely, 2^172164339360 is an apocalyptic number.

172164339360 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 172164339360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334961532360).

172164339360 is an abundant number, since it is smaller than the sum of its proper divisors (497758725360).

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

172164339360 is a wasteful number, since it uses less digits than its factorization.

172164339360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541040 (or 541029 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 172164339360 in words is "one hundred seventy-two billion, one hundred sixty-four million, three hundred thirty-nine thousand, three hundred sixty".