11877304320 has 1152 divisors, whose sum is σ = 53920339200. Its totient is φ = 2420637696.

The previous prime is 11877304289. The next prime is 11877304331. The reversal of 11877304320 is 2340377811.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 625121271 + ... + 625121289.

It is an arithmetic number, because the mean of its divisors is an integer number (46805850).

Almost surely, 2^11877304320 is an apocalyptic number.

11877304320 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 11877304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26960169600).

11877304320 is an abundant number, since it is smaller than the sum of its proper divisors (42043034880).

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

11877304320 is a wasteful number, since it uses less digits than its factorization.

11877304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 11877304320 in words is "eleven billion, eight hundred seventy-seven million, three hundred four thousand, three hundred twenty".