10140056260656 has 80 divisors (see below), whose sum is σ = 29960321250048. Its totient is φ = 2894931936000.

The previous prime is 10140056260651. The next prime is 10140056260661. The reversal of 10140056260656 is 65606265004101.

It is an interprime number because it is at equal distance from previous prime (10140056260651) and next prime (10140056260661).

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

It is not an unprimeable number, because it can be changed into a prime (10140056260651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11161150 + ... + 12035421.

Almost surely, 2^{10140056260656} is an apocalyptic number.

10140056260656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10140056260656 is an abundant number, since it is smaller than the sum of its proper divisors (19820264989392).

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

10140056260656 is a wasteful number, since it uses less digits than its factorization.

10140056260656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23197890 (or 23197884 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 10140056260656 in words is "ten trillion, one hundred forty billion, fifty-six million, two hundred sixty thousand, six hundred fifty-six".