10004076906351 has 16 divisors (see below), whose sum is σ = 14551729795200. Its totient is φ = 6062933077920.

The previous prime is 10004076906323. The next prime is 10004076906403. The reversal of 10004076906351 is 15360967040001.

10004076906351 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10004076906351 - 2¹⁴ = 10004076889967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004076906301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2175376 + ... + 4973973.

It is an arithmetic number, because the mean of its divisors is an integer number (909483112200).

Almost surely, 2^{10004076906351} is an apocalyptic number.

10004076906351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10004076906351 is a deficient number, since it is larger than the sum of its proper divisors (4547652888849).

10004076906351 is a wasteful number, since it uses less digits than its factorization.

10004076906351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7191766.

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 10004076906351 in words is "ten trillion, four billion, seventy-six million, nine hundred six thousand, three hundred fifty-one".