172107561056120 has 64 divisors (see below), whose sum is σ = 392782140403200. Its totient is φ = 67858537541760.

The previous prime is 172107561056113. The next prime is 172107561056231. The reversal of 172107561056120 is 21650165701271.

172107561056120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6335591 + ... + 19604969.

It is an arithmetic number, because the mean of its divisors is an integer number (6137220943800).

Almost surely, 2^{172107561056120} is an apocalyptic number.

172107561056120 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 172107561056120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196391070201600).

172107561056120 is an abundant number, since it is smaller than the sum of its proper divisors (220674579347080).

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

172107561056120 is a wasteful number, since it uses less digits than its factorization.

172107561056120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13274028 (or 13274024 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 44.

The spelling of 172107561056120 in words is "one hundred seventy-two trillion, one hundred seven billion, five hundred sixty-one million, fifty-six thousand, one hundred twenty".