11904418849680 has 640 divisors, whose sum is σ = 49402826588160. Its totient is φ = 2577204449280.

The previous prime is 11904418849657. The next prime is 11904418849769. The reversal of 11904418849680 is 8694881440911.

11904418849680 is a `hidden beast` number, since 1 + 1 + 90 + 44 + 18 + 8 + 496 + 8 + 0 = 666.

It is a super-2 number, since 2×11904418849680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21759652 + ... + 22300028.

It is an arithmetic number, because the mean of its divisors is an integer number (77191916544).

Almost surely, 2^{11904418849680} is an apocalyptic number.

11904418849680 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 11904418849680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24701413294080).

11904418849680 is an abundant number, since it is smaller than the sum of its proper divisors (37498407738480).

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

11904418849680 is a wasteful number, since it uses less digits than its factorization.

11904418849680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540484 (or 540472 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 11904418849680 in words is "eleven trillion, nine hundred four billion, four hundred eighteen million, eight hundred forty-nine thousand, six hundred eighty".