11557970064 has 225 divisors, whose sum is σ = 35512284639. Its totient is φ = 3509061120.

The previous prime is 11557970041. The next prime is 11557970087. The reversal of 11557970064 is 46007975511.

The square root of 11557970064 is 107508.

It is a perfect power (a square), and thus also a powerful number.

11557970064 is a `hidden beast` number, since 1 + 1 + 5 + 579 + 70 + 0 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11557970041) and next prime (11557970087).

It can be written as a sum of positive squares in 2 ways, for example, as 3587051664 + 7970918400 = 59892^2 + 89280^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 372837729 + ... + 372837759.

Almost surely, 2^11557970064 is an apocalyptic number.

11557970064 is the 107508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11557970064

11557970064 is an abundant number, since it is smaller than the sum of its proper divisors (23954314575).

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

11557970064 is an frugal number, since it uses more digits than its factorization.

11557970064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 11557970064 in words is "eleven billion, five hundred fifty-seven million, nine hundred seventy thousand, sixty-four".