11187958320 has 720 divisors, whose sum is σ = 48267767808. Its totient is φ = 2296304640.

The previous prime is 11187958307. The next prime is 11187958321. The reversal of 11187958320 is 2385978111.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×11187958320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11187958321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49286047 + ... + 49286273.

Almost surely, 2^11187958320 is an apocalyptic number.

11187958320 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 11187958320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24133883904).

11187958320 is an abundant number, since it is smaller than the sum of its proper divisors (37079809488).

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

11187958320 is a wasteful number, since it uses less digits than its factorization.

11187958320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 11187958320 in words is "eleven billion, one hundred eighty-seven million, nine hundred fifty-eight thousand, three hundred twenty".