10004876512 has 96 divisors (see below), whose sum is σ = 21501849600. Its totient is φ = 4565030400.

The previous prime is 10004876501. The next prime is 10004876549. The reversal of 10004876512 is 21567840001.

It is a super-2 number, since 2×10004876512² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4503562 + ... + 4505782.

It is an arithmetic number, because the mean of its divisors is an integer number (223977600).

Almost surely, 2^10004876512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10004876512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10750924800).

10004876512 is an abundant number, since it is smaller than the sum of its proper divisors (11496973088).

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

10004876512 is a wasteful number, since it uses less digits than its factorization.

10004876512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The spelling of 10004876512 in words is "ten billion, four million, eight hundred seventy-six thousand, five hundred twelve".