11712057664 has 56 divisors (see below), whose sum is σ = 23619930408. Its totient is φ = 5761351680.

The previous prime is 11712057647. The next prime is 11712057671. The reversal of 11712057664 is 46675021711.

It can be written as a sum of positive squares in 4 ways, for example, as 99840064 + 11612217600 = 9992^2 + 107760^2 .

It is a super-2 number, since 2×11712057664² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 984874 + ... + 996694.

Almost surely, 2^11712057664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11712057664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11809965204).

11712057664 is an abundant number, since it is smaller than the sum of its proper divisors (11907872744).

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

11712057664 is a wasteful number, since it uses less digits than its factorization.

11712057664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12083 (or 12073 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The spelling of 11712057664 in words is "eleven billion, seven hundred twelve million, fifty-seven thousand, six hundred sixty-four".