11640275520 has 224 divisors, whose sum is σ = 39640337280. Its totient is φ = 2884976640.

The previous prime is 11640275477. The next prime is 11640275533. The reversal of 11640275520 is 2557204611.

It is a super-2 number, since 2×11640275520² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 960700 + ... + 972740.

Almost surely, 2^11640275520 is an apocalyptic number.

11640275520 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 11640275520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19820168640).

11640275520 is an abundant number, since it is smaller than the sum of its proper divisors (28000061760).

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

11640275520 is a wasteful number, since it uses less digits than its factorization.

11640275520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12133 (or 12123 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 11640275520 in words is "eleven billion, six hundred forty million, two hundred seventy-five thousand, five hundred twenty".