10079954433306 has 64 divisors (see below), whose sum is σ = 22474040060160. Its totient is φ = 3348865658880.

The previous prime is 10079954433281. The next prime is 10079954433347. The reversal of 10079954433306 is 60333445997001.

10079954433306 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 99 + 544 + 3 + 3 + 3 + 0 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238067370 + ... + 238109706.

It is an arithmetic number, because the mean of its divisors is an integer number (351156875940).

Almost surely, 2^{10079954433306} is an apocalyptic number.

10079954433306 is an abundant number, since it is smaller than the sum of its proper divisors (12394085626854).

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

10079954433306 is a wasteful number, since it uses less digits than its factorization.

10079954433306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56836 (or 56830 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 10079954433306 in words is "ten trillion, seventy-nine billion, nine hundred fifty-four million, four hundred thirty-three thousand, three hundred six".