172022114880 has 1792 divisors, whose sum is σ = 823984128000. Its totient is φ = 32696524800.

The previous prime is 172022114879. The next prime is 172022114903. The reversal of 172022114880 is 88411220271.

It is a happy number.

172022114880 is a `hidden beast` number, since 172 + 0 + 2 + 2 + 1 + 1 + 488 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 391849701 + ... + 391850139.

Almost surely, 2^172022114880 is an apocalyptic number.

172022114880 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 172022114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411992064000).

172022114880 is an abundant number, since it is smaller than the sum of its proper divisors (651962013120).

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

172022114880 is a wasteful number, since it uses less digits than its factorization.

172022114880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 172022114880 in words is "one hundred seventy-two billion, twenty-two million, one hundred fourteen thousand, eight hundred eighty".