11557649376 has 384 divisors, whose sum is σ = 43934607360. Its totient is φ = 2868535296.

The previous prime is 11557649371. The next prime is 11557649437. The reversal of 11557649376 is 67394675511.

11557649376 is a `hidden beast` number, since 1 + 15 + 5 + 76 + 493 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11557649371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1332285 + ... + 1340931.

It is an arithmetic number, because the mean of its divisors is an integer number (114413040).

Almost surely, 2^11557649376 is an apocalyptic number.

11557649376 is a gapful number since it is divisible by the number (16) 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 11557649376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21967303680).

11557649376 is an abundant number, since it is smaller than the sum of its proper divisors (32376957984).

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

11557649376 is a wasteful number, since it uses less digits than its factorization.

11557649376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8703 (or 8689 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The spelling of 11557649376 in words is "eleven billion, five hundred fifty-seven million, six hundred forty-nine thousand, three hundred seventy-six".