11137765560 has 256 divisors, whose sum is σ = 37220290560. Its totient is φ = 2653347840.

The previous prime is 11137765559. The next prime is 11137765603. The reversal of 11137765560 is 6556773111.

It is a super-2 number, since 2×11137765560² (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 63 ways as a sum of consecutive naturals, for example, 3350059 + ... + 3353381.

It is an arithmetic number, because the mean of its divisors is an integer number (145391760).

Almost surely, 2^11137765560 is an apocalyptic number.

11137765560 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 11137765560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18610145280).

11137765560 is an abundant number, since it is smaller than the sum of its proper divisors (26082525000).

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

11137765560 is a wasteful number, since it uses less digits than its factorization.

11137765560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3438 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The spelling of 11137765560 in words is "eleven billion, one hundred thirty-seven million, seven hundred sixty-five thousand, five hundred sixty".