11486682904320 has 1152 divisors, whose sum is σ = 46559340011520. Its totient is φ = 2660073799680.

The previous prime is 11486682904303. The next prime is 11486682904331. The reversal of 11486682904320 is 2340928668411.

11486682904320 is a `hidden beast` number, since 1 + 1 + 48 + 6 + 6 + 82 + 90 + 432 + 0 = 666.

11486682904320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 630330729 + ... + 630348951.

It is an arithmetic number, because the mean of its divisors is an integer number (40416093760).

Almost surely, 2^{11486682904320} is an apocalyptic number.

11486682904320 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 11486682904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23279670005760).

11486682904320 is an abundant number, since it is smaller than the sum of its proper divisors (35072657107200).

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

11486682904320 is a wasteful number, since it uses less digits than its factorization.

11486682904320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18350 (or 18330 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 11486682904320 in words is "eleven trillion, four hundred eighty-six billion, six hundred eighty-two million, nine hundred four thousand, three hundred twenty".