10510012656 has 480 divisors, whose sum is σ = 37251187200. Its totient is φ = 2807101440.

The previous prime is 10510012627. The next prime is 10510012661. The reversal of 10510012656 is 65621001501.

It is a happy number.

10510012656 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 0 + 0 + 1 + 2 + 656 = 666.

It is a super-2 number, since 2×10510012656² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 18470740 + ... + 18471308.

It is an arithmetic number, because the mean of its divisors is an integer number (77606640).

Almost surely, 2^10510012656 is an apocalyptic number.

10510012656 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 10510012656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18625593600).

10510012656 is an abundant number, since it is smaller than the sum of its proper divisors (26741174544).

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

10510012656 is a wasteful number, since it uses less digits than its factorization.

10510012656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 10510012656 in words is "ten billion, five hundred ten million, twelve thousand, six hundred fifty-six".