11872633968000 has 2688 divisors, whose sum is σ = 50604967015200. Its totient is φ = 2759945011200.

The previous prime is 11872633967989. The next prime is 11872633968011. The reversal of 11872633968000 is 86933627811.

11872633968000 is a `hidden beast` number, since 118 + 7 + 2 + 63 + 396 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11872633967989) and next prime (11872633968011).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 37453103842 + ... + 37453104158.

Almost surely, 2^{11872633968000} is an apocalyptic number.

11872633968000 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 11872633968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25302483507600).

11872633968000 is an abundant number, since it is smaller than the sum of its proper divisors (38732333047200).

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

11872633968000 is an equidigital number, since it uses as much as digits as its factorization.

11872633968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 11872633968000 in words is "eleven trillion, eight hundred seventy-two billion, six hundred thirty-three million, nine hundred sixty-eight thousand".