11871372960 has 240 divisors, whose sum is σ = 41996265696. Its totient is φ = 3158134272.

The previous prime is 11871372943. The next prime is 11871373001. The reversal of 11871372960 is 6927317811.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×11871372960⁴ (a number of 41 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7295667 + ... + 7297293.

Almost surely, 2^11871372960 is an apocalyptic number.

11871372960 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 11871372960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20998132848).

11871372960 is an abundant number, since it is smaller than the sum of its proper divisors (30124892736).

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

11871372960 is a wasteful number, since it uses less digits than its factorization.

11871372960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 11871372960 in words is "eleven billion, eight hundred seventy-one million, three hundred seventy-two thousand, nine hundred sixty".