11838715680 has 192 divisors, whose sum is σ = 43075525248. Its totient is φ = 2701148160.

The previous prime is 11838715639. The next prime is 11838715703. The reversal of 11838715680 is 8651783811.

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

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, 23814 + ... + 155706.

It is an arithmetic number, because the mean of its divisors is an integer number (224351694).

Almost surely, 2^11838715680 is an apocalyptic number.

11838715680 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 11838715680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21537762624).

11838715680 is an abundant number, since it is smaller than the sum of its proper divisors (31236809568).

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

11838715680 is a wasteful number, since it uses less digits than its factorization.

11838715680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131939 (or 131931 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 48.

The spelling of 11838715680 in words is "eleven billion, eight hundred thirty-eight million, seven hundred fifteen thousand, six hundred eighty".