10164360960 has 432 divisors, whose sum is σ = 38476043424. Its totient is φ = 2462220288.

The previous prime is 10164360929. The next prime is 10164360971. The reversal of 10164360960 is 6906346101.

10164360960 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 43 + 609 + 6 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 10033414 + ... + 10034426.

Almost surely, 2^10164360960 is an apocalyptic number.

10164360960 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 10164360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19238021712).

10164360960 is an abundant number, since it is smaller than the sum of its proper divisors (28311682464).

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

10164360960 is a wasteful number, since it uses less digits than its factorization.

10164360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 10164360960 in words is "ten billion, one hundred sixty-four million, three hundred sixty thousand, nine hundred sixty".