10641556712640 has 224 divisors, whose sum is σ = 38807691955200. Its totient is φ = 2420132622336.

The previous prime is 10641556712623. The next prime is 10641556712687. The reversal of 10641556712640 is 4621765514601.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×10641556712640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10641556712640.

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, 2641527 + ... + 5316086.

It is an arithmetic number, because the mean of its divisors is an integer number (173248624800).

Almost surely, 2^{10641556712640} is an apocalyptic number.

10641556712640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10641556712640 is an abundant number, since it is smaller than the sum of its proper divisors (28166135242560).

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

10641556712640 is a wasteful number, since it uses less digits than its factorization.

10641556712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7957839 (or 7957829 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 10641556712640 in words is "ten trillion, six hundred forty-one billion, five hundred fifty-six million, seven hundred twelve thousand, six hundred forty".