11502137920 has 224 divisors, whose sum is σ = 35486035200. Its totient is φ = 3448479744.

The previous prime is 11502137891. The next prime is 11502137921. The reversal of 11502137920 is 2973120511.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (11502137921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 542886 + ... + 563674.

It is an arithmetic number, because the mean of its divisors is an integer number (158419800).

Almost surely, 2^11502137920 is an apocalyptic number.

11502137920 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 11502137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17743017600).

11502137920 is an abundant number, since it is smaller than the sum of its proper divisors (23983897280).

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

11502137920 is a wasteful number, since it uses less digits than its factorization.

11502137920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20845 (or 20835 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The spelling of 11502137920 in words is "eleven billion, five hundred two million, one hundred thirty-seven thousand, nine hundred twenty".