11872402856640 has 448 divisors, whose sum is σ = 42380464896000. Its totient is φ = 3128589434880.

The previous prime is 11872402856603. The next prime is 11872402856651. The reversal of 11872402856640 is 4665820427811.

11872402856640 is a `hidden beast` number, since 1 + 1 + 8 + 72 + 4 + 0 + 2 + 8 + 566 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 270487816 + ... + 270531704.

It is an arithmetic number, because the mean of its divisors is an integer number (94599252000).

Almost surely, 2^{11872402856640} is an apocalyptic number.

11872402856640 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 11872402856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21190232448000).

11872402856640 is an abundant number, since it is smaller than the sum of its proper divisors (30508062039360).

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

11872402856640 is a wasteful number, since it uses less digits than its factorization.

11872402856640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44285 (or 44269 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 11872402856640 in words is "eleven trillion, eight hundred seventy-two billion, four hundred two million, eight hundred fifty-six thousand, six hundred forty".