10172065120 has 96 divisors (see below), whose sum is σ = 27563167296. Its totient is φ = 3475046400.

The previous prime is 10172065117. The next prime is 10172065129. The reversal of 10172065120 is 2156027101.

It is a super-2 number, since 2×10172065120² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10172065129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298560 + ... + 330880.

It is an arithmetic number, because the mean of its divisors is an integer number (287116326).

Almost surely, 2^10172065120 is an apocalyptic number.

10172065120 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 10172065120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13781583648).

10172065120 is an abundant number, since it is smaller than the sum of its proper divisors (17391102176).

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

10172065120 is a wasteful number, since it uses less digits than its factorization.

10172065120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32624 (or 32616 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The spelling of 10172065120 in words is "ten billion, one hundred seventy-two million, sixty-five thousand, one hundred twenty".