11953868904 has 192 divisors, whose sum is σ = 34354944000. Its totient is φ = 3749276160.

The previous prime is 11953868723. The next prime is 11953868951. The reversal of 11953868904 is 40986835911.

11953868904 is a `hidden beast` number, since 1 + 19 + 538 + 6 + 8 + 90 + 4 = 666.

It is a super-2 number, since 2×11953868904² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16175367 + ... + 16176105.

It is an arithmetic number, because the mean of its divisors is an integer number (178932000).

Almost surely, 2^11953868904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11953868904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17177472000).

11953868904 is an abundant number, since it is smaller than the sum of its proper divisors (22401075096).

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

11953868904 is a wasteful number, since it uses less digits than its factorization.

11953868904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 11953868904 in words is "eleven billion, nine hundred fifty-three million, eight hundred sixty-eight thousand, nine hundred four".