11651012640 has 144 divisors (see below), whose sum is σ = 40729020696. Its totient is φ = 3031142400.

The previous prime is 11651012617. The next prime is 11651012651. The reversal of 11651012640 is 4621015611.

11651012640 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 1 + 0 + 12 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6259341456 + 5391671184 = 79116^2 + 73428^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 39631 + ... + 157710.

Almost surely, 2^11651012640 is an apocalyptic number.

11651012640 is a gapful number since it is divisible by the number (10) 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 11651012640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20364510348).

11651012640 is an abundant number, since it is smaller than the sum of its proper divisors (29078008056).

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

11651012640 is a wasteful number, since it uses less digits than its factorization.

11651012640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197403 (or 197392 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 11651012640 in words is "eleven billion, six hundred fifty-one million, twelve thousand, six hundred forty".