10168104960 has 960 divisors, whose sum is σ = 41954552640. Its totient is φ = 2335703040.

The previous prime is 10168104943. The next prime is 10168104979. The reversal of 10168104960 is 6940186101.

It is a happy number.

10168104960 is a `hidden beast` number, since 1 + 0 + 168 + 1 + 0 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 79 ways as a sum of consecutive naturals, for example, 248002540 + ... + 248002580.

It is an arithmetic number, because the mean of its divisors is an integer number (43702659).

Almost surely, 2^10168104960 is an apocalyptic number.

10168104960 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 10168104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20977276320).

10168104960 is an abundant number, since it is smaller than the sum of its proper divisors (31786447680).

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

10168104960 is a wasteful number, since it uses less digits than its factorization.

10168104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 10168104960 in words is "ten billion, one hundred sixty-eight million, one hundred four thousand, nine hundred sixty".