10104775868160 has 720 divisors, whose sum is σ = 38363662260000. Its totient is φ = 2530797944832.

The previous prime is 10104775868149. The next prime is 10104775868183. The reversal of 10104775868160 is 6186857740101.

10104775868160 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 47 + 7 + 586 + 8 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10104775868097 and 10104775868106.

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, 879511696 + ... + 879523184.

It is an arithmetic number, because the mean of its divisors is an integer number (53282864250).

Almost surely, 2^{10104775868160} is an apocalyptic number.

10104775868160 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 10104775868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19181831130000).

10104775868160 is an abundant number, since it is smaller than the sum of its proper divisors (28258886391840).

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

10104775868160 is a wasteful number, since it uses less digits than its factorization.

10104775868160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12038 (or 12015 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 10104775868160 in words is "ten trillion, one hundred four billion, seven hundred seventy-five million, eight hundred sixty-eight thousand, one hundred sixty".