10165572720 has 120 divisors (see below), whose sum is σ = 34311420000. Its totient is φ = 2697159168.

The previous prime is 10165572691. The next prime is 10165572803. The reversal of 10165572720 is 2727556101.

10165572720 is a `hidden beast` number, since 1 + 0 + 1 + 65 + 572 + 7 + 20 = 666.

10165572720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107806 + ... + 178754.

It is an arithmetic number, because the mean of its divisors is an integer number (285928500).

Almost surely, 2^10165572720 is an apocalyptic number.

10165572720 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 10165572720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17155710000).

10165572720 is an abundant number, since it is smaller than the sum of its proper divisors (24145847280).

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

10165572720 is a wasteful number, since it uses less digits than its factorization.

10165572720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71167 (or 71158 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 10165572720 in words is "ten billion, one hundred sixty-five million, five hundred seventy-two thousand, seven hundred twenty".