11640713580 has 96 divisors (see below), whose sum is σ = 36258969600. Its totient is φ = 3100469184.

The previous prime is 11640713561. The next prime is 11640713639. The reversal of 11640713580 is 8531704611.

11640713580 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 0 + 71 + 3 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 453531 + ... + 478509.

It is an arithmetic number, because the mean of its divisors is an integer number (377697600).

Almost surely, 2^11640713580 is an apocalyptic number.

11640713580 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 11640713580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18129484800).

11640713580 is an abundant number, since it is smaller than the sum of its proper divisors (24618256020).

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

11640713580 is a wasteful number, since it uses less digits than its factorization.

11640713580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25860 (or 25852 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11640713580 in words is "eleven billion, six hundred forty million, seven hundred thirteen thousand, five hundred eighty".