172164438420480 has 1056 divisors, whose sum is σ = 698152843664640. Its totient is φ = 40297539502080.

The previous prime is 172164438420463. The next prime is 172164438420529. The reversal of 172164438420480 is 84024834461271.

172164438420480 is a `hidden beast` number, since 1 + 7 + 2 + 1 + 64 + 4 + 3 + 84 + 20 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-3 number, since 3×172164438420480³ (a number of 44 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 396670147 + ... + 397103933.

Almost surely, 2^{172164438420480} is an apocalyptic number.

172164438420480 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 172164438420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349076421832320).

172164438420480 is an abundant number, since it is smaller than the sum of its proper divisors (525988405244160).

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

172164438420480 is a wasteful number, since it uses less digits than its factorization.

172164438420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433867 (or 433837 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 172164438420480 in words is "one hundred seventy-two trillion, one hundred sixty-four billion, four hundred thirty-eight million, four hundred twenty thousand, four hundred eighty".