10479876256512 has 864 divisors, whose sum is σ = 35054760249600. Its totient is φ = 3100418850816.

The previous prime is 10479876256501. The next prime is 10479876256559. The reversal of 10479876256512 is 21565267897401.

It is a happy number.

10479876256512 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 9 + 8 + 7 + 62 + 56 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×10479876256512² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10479876256512.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6637032939 + ... + 6637034517.

Almost surely, 2^{10479876256512} is an apocalyptic number.

10479876256512 is a gapful number since it is divisible by the number (12) 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 10479876256512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17527380124800).

10479876256512 is an abundant number, since it is smaller than the sum of its proper divisors (24574883993088).

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

10479876256512 is a wasteful number, since it uses less digits than its factorization.

10479876256512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 10479876256512 in words is "ten trillion, four hundred seventy-nine billion, eight hundred seventy-six million, two hundred fifty-six thousand, five hundred twelve".