11718635040 has 384 divisors, whose sum is σ = 47155530240. Its totient is φ = 2662502400.

The previous prime is 11718634981. The next prime is 11718635069. The reversal of 11718635040 is 4053681711.

11718635040 is a `hidden beast` number, since 1 + 1 + 7 + 18 + 635 + 0 + 4 + 0 = 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 = 11718634986 and 11718635004.

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, 5472370 + ... + 5474510.

It is an arithmetic number, because the mean of its divisors is an integer number (122800860).

Almost surely, 2^11718635040 is an apocalyptic number.

11718635040 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 11718635040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23577765120).

11718635040 is an abundant number, since it is smaller than the sum of its proper divisors (35436895200).

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

11718635040 is a wasteful number, since it uses less digits than its factorization.

11718635040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11718635040 in words is "eleven billion, seven hundred eighteen million, six hundred thirty-five thousand, forty".