11839688640 has 504 divisors, whose sum is σ = 45723560064. Its totient is φ = 2792448000.

The previous prime is 11839688617. The next prime is 11839688681. The reversal of 11839688640 is 4688693811.

11839688640 is a `hidden beast` number, since 118 + 396 + 88 + 64 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117224590 + ... + 117224690.

Almost surely, 2^11839688640 is an apocalyptic number.

11839688640 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 11839688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22861780032).

11839688640 is an abundant number, since it is smaller than the sum of its proper divisors (33883871424).

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

11839688640 is a wasteful number, since it uses less digits than its factorization.

11839688640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 11839688640 in words is "eleven billion, eight hundred thirty-nine million, six hundred eighty-eight thousand, six hundred forty".