11639255040 has 832 divisors, whose sum is σ = 49318993920. Its totient is φ = 2548039680.

The previous prime is 11639254993. The next prime is 11639255059. The reversal of 11639255040 is 4055293611.

11639255040 is a `hidden beast` number, since 1 + 1 + 63 + 9 + 2 + 550 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11639254986 and 11639255004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119992272 + ... + 119992368.

Almost surely, 2^11639255040 is an apocalyptic number.

11639255040 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 11639255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24659496960).

11639255040 is an abundant number, since it is smaller than the sum of its proper divisors (37679738880).

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

11639255040 is an equidigital number, since it uses as much as digits as its factorization.

11639255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 11639255040 in words is "eleven billion, six hundred thirty-nine million, two hundred fifty-five thousand, forty".