10202561640 has 96 divisors (see below), whose sum is σ = 33181125120. Its totient is φ = 2718812544.

The previous prime is 10202561617. The next prime is 10202561657. The reversal of 10202561640 is 4616520201.

10202561640 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 2 + 5 + 616 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 560929 + ... + 578831.

It is an arithmetic number, because the mean of its divisors is an integer number (345636720).

Almost surely, 2^10202561640 is an apocalyptic number.

10202561640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202561640 is an abundant number, since it is smaller than the sum of its proper divisors (22978563480).

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

10202561640 is a wasteful number, since it uses less digits than its factorization.

10202561640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19503 (or 19496 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10202561640 in words is "ten billion, two hundred two million, five hundred sixty-one thousand, six hundred forty".