10104814748160 has 800 divisors, whose sum is σ = 39704635080000. Its totient is φ = 2435868426240.

The previous prime is 10104814748117. The next prime is 10104814748179. The reversal of 10104814748160 is 6184741840101.

10104814748160 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 48 + 1 + 474 + 81 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 408279466 + ... + 408304214.

It is an arithmetic number, because the mean of its divisors is an integer number (49630793850).

Almost surely, 2^{10104814748160} is an apocalyptic number.

10104814748160 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 10104814748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19852317540000).

10104814748160 is an abundant number, since it is smaller than the sum of its proper divisors (29599820331840).

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

10104814748160 is a wasteful number, since it uses less digits than its factorization.

10104814748160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24974 (or 24949 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 10104814748160 in words is "ten trillion, one hundred four billion, eight hundred fourteen million, seven hundred forty-eight thousand, one hundred sixty".