172088711262960 has 320 divisors, whose sum is σ = 549430674186240. Its totient is φ = 44529993768960.

The previous prime is 172088711262911. The next prime is 172088711262973. The reversal of 172088711262960 is 69262117880271.

It is a super-2 number, since 2×172088711262960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 172088711262894 and 172088711262903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7247964849 + ... + 7247988591.

It is an arithmetic number, because the mean of its divisors is an integer number (1716970856832).

Almost surely, 2^{172088711262960} is an apocalyptic number.

172088711262960 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 172088711262960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274715337093120).

172088711262960 is an abundant number, since it is smaller than the sum of its proper divisors (377341962923280).

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

172088711262960 is a wasteful number, since it uses less digits than its factorization.

172088711262960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27736 (or 27730 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 60.

The spelling of 172088711262960 in words is "one hundred seventy-two trillion, eighty-eight billion, seven hundred eleven million, two hundred sixty-two thousand, nine hundred sixty".