10514635656 has 128 divisors (see below), whose sum is σ = 31940075520. Its totient is φ = 2819291904.

The previous prime is 10514635639. The next prime is 10514635667. The reversal of 10514635656 is 65653641501.

It is a super-2 number, since 2×10514635656² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 179121 + ... + 230463.

It is an arithmetic number, because the mean of its divisors is an integer number (249531840).

Almost surely, 2^10514635656 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 10514635656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15970037760).

10514635656 is an abundant number, since it is smaller than the sum of its proper divisors (21425439864).

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

10514635656 is a wasteful number, since it uses less digits than its factorization.

10514635656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51435 (or 51431 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 10514635656 in words is "ten billion, five hundred fourteen million, six hundred thirty-five thousand, six hundred fifty-six".