11891360520 has 672 divisors, whose sum is σ = 46084377600. Its totient is φ = 2751211008.

The previous prime is 11891360519. The next prime is 11891360563. The reversal of 11891360520 is 2506319811.

11891360520 is a `hidden beast` number, since 1 + 18 + 9 + 13 + 605 + 20 = 666.

It is a super-2 number, since 2×11891360520² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 93632697 + ... + 93632823.

Almost surely, 2^11891360520 is an apocalyptic number.

11891360520 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 11891360520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23042188800).

11891360520 is an abundant number, since it is smaller than the sum of its proper divisors (34193017080).

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

11891360520 is a wasteful number, since it uses less digits than its factorization.

11891360520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 11891360520 in words is "eleven billion, eight hundred ninety-one million, three hundred sixty thousand, five hundred twenty".