11377807056 has 360 divisors, whose sum is σ = 42790011264. Its totient is φ = 2781112320.

The previous prime is 11377807043. The next prime is 11377807061. The reversal of 11377807056 is 65070877311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1315161 + ... + 1323783.

Almost surely, 2^11377807056 is an apocalyptic number.

11377807056 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 11377807056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21395005632).

11377807056 is an abundant number, since it is smaller than the sum of its proper divisors (31412204208).

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

11377807056 is a wasteful number, since it uses less digits than its factorization.

11377807056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8679 (or 8663 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 11377807056 in words is "eleven billion, three hundred seventy-seven million, eight hundred seven thousand, fifty-six".