10164135960 has 192 divisors, whose sum is σ = 37371559680. Its totient is φ = 2464007040.

The previous prime is 10164135959. The next prime is 10164135973. The reversal of 10164135960 is 6953146101.

10164135960 is a `hidden beast` number, since 1 + 0 + 1 + 64 + 1 + 3 + 596 + 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, 59389 + ... + 154451.

It is an arithmetic number, because the mean of its divisors is an integer number (194643540).

Almost surely, 2^10164135960 is an apocalyptic number.

10164135960 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 10164135960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18685779840).

10164135960 is an abundant number, since it is smaller than the sum of its proper divisors (27207423720).

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

10164135960 is a wasteful number, since it uses less digits than its factorization.

10164135960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95100 (or 95084 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 10164135960 in words is "ten billion, one hundred sixty-four million, one hundred thirty-five thousand, nine hundred sixty".