172864667052 has 810 divisors, whose sum is σ = 604020693276. Its totient is φ = 42946485120.

The previous prime is 172864667051. The next prime is 172864667071. The reversal of 172864667052 is 250766468271.

It is a happy number.

172864667052 is a `hidden beast` number, since 172 + 8 + 6 + 466 + 7 + 0 + 5 + 2 = 666.

It is a super-2 number, since 2×172864667052² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 172864667052.

It is not an unprimeable number, because it can be changed into a prime (172864667051) by changing a digit.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 1615557583 + ... + 1615557689.

Almost surely, 2^172864667052 is an apocalyptic number.

172864667052 is a gapful number since it is divisible by the number (12) 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 172864667052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302010346638).

172864667052 is an abundant number, since it is smaller than the sum of its proper divisors (431156026224).

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

172864667052 is a wasteful number, since it uses less digits than its factorization.

172864667052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 172864667052 in words is "one hundred seventy-two billion, eight hundred sixty-four million, six hundred sixty-seven thousand, fifty-two".