10576051296 has 192 divisors, whose sum is σ = 29602298880. Its totient is φ = 3300577280.

The previous prime is 10576051247. The next prime is 10576051331. The reversal of 10576051296 is 69215067501.

It is a super-2 number, since 2×10576051296² (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 31 ways as a sum of consecutive naturals, for example, 17140780 + ... + 17141396.

It is an arithmetic number, because the mean of its divisors is an integer number (154178640).

Almost surely, 2^10576051296 is an apocalyptic number.

10576051296 is a gapful number since it is divisible by the number (16) 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 10576051296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14801149440).

10576051296 is an abundant number, since it is smaller than the sum of its proper divisors (19026247584).

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

10576051296 is a wasteful number, since it uses less digits than its factorization.

10576051296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The spelling of 10576051296 in words is "ten billion, five hundred seventy-six million, fifty-one thousand, two hundred ninety-six".