10140610656 has 192 divisors, whose sum is σ = 29652811776. Its totient is φ = 3008678400.

The previous prime is 10140610639. The next prime is 10140610661. The reversal of 10140610656 is 65601604101.

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, 11130841 + ... + 11131751.

It is an arithmetic number, because the mean of its divisors is an integer number (154441728).

Almost surely, 2^10140610656 is an apocalyptic number.

10140610656 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 10140610656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14826405888).

10140610656 is an abundant number, since it is smaller than the sum of its proper divisors (19512201120).

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

10140610656 is a wasteful number, since it uses less digits than its factorization.

10140610656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 10140610656 in words is "ten billion, one hundred forty million, six hundred ten thousand, six hundred fifty-six".