10161725184 has 144 divisors (see below), whose sum is σ = 32361834400. Its totient is φ = 3126657024.

The previous prime is 10161725173. The next prime is 10161725209. The reversal of 10161725184 is 48152716101.

10161725184 is a `hidden beast` number, since 1 + 0 + 1 + 617 + 25 + 18 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33312 + ... + 146400.

Almost surely, 2^10161725184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10161725184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16180917200).

10161725184 is an abundant number, since it is smaller than the sum of its proper divisors (22200109216).

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

10161725184 is a wasteful number, since it uses less digits than its factorization.

10161725184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113127 (or 113107 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 10161725184 in words is "ten billion, one hundred sixty-one million, seven hundred twenty-five thousand, one hundred eighty-four".