11872568320 has 88 divisors (see below), whose sum is σ = 29143122624. Its totient is φ = 4638498816.

The previous prime is 11872568311. The next prime is 11872568377. The reversal of 11872568320 is 2386527811.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193197 + ... + 247123.

It is an arithmetic number, because the mean of its divisors is an integer number (331171848).

Almost surely, 2^11872568320 is an apocalyptic number.

11872568320 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 11872568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14571561312).

11872568320 is an abundant number, since it is smaller than the sum of its proper divisors (17270554304).

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

11872568320 is an equidigital number, since it uses as much as digits as its factorization.

11872568320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53995 (or 53977 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 11872568320 in words is "eleven billion, eight hundred seventy-two million, five hundred sixty-eight thousand, three hundred twenty".