10130433755904 has 648 divisors, whose sum is σ = 37586933887776. Its totient is φ = 2567083622400.

The previous prime is 10130433755887. The next prime is 10130433755933. The reversal of 10130433755904 is 40955733403101.

10130433755904 is a `hidden beast` number, since 1 + 0 + 1 + 304 + 337 + 5 + 5 + 9 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10130433755904.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79947702 + ... + 80074314.

Almost surely, 2^{10130433755904} is an apocalyptic number.

10130433755904 is a gapful number since it is divisible by the number (14) 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 10130433755904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18793466943888).

10130433755904 is an abundant number, since it is smaller than the sum of its proper divisors (27456500131872).

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

10130433755904 is a wasteful number, since it uses less digits than its factorization.

10130433755904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126705 (or 126677 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 10130433755904 in words is "ten trillion, one hundred thirty billion, four hundred thirty-three million, seven hundred fifty-five thousand, nine hundred four".