11678715840 has 224 divisors, whose sum is σ = 40555468800. Its totient is φ = 2823884800.

The previous prime is 11678715827. The next prime is 11678715859. The reversal of 11678715840 is 4851787611.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11678715840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4866961 + ... + 4869359.

It is an arithmetic number, because the mean of its divisors is an integer number (181051200).

Almost surely, 2^11678715840 is an apocalyptic number.

11678715840 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 11678715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20277734400).

11678715840 is an abundant number, since it is smaller than the sum of its proper divisors (28876752960).

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

11678715840 is a wasteful number, since it uses less digits than its factorization.

11678715840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 48.

It can be divided in two parts, 1167871 and 5840, that added together give a palindrome (1173711).

The spelling of 11678715840 in words is "eleven billion, six hundred seventy-eight million, seven hundred fifteen thousand, eight hundred forty".