11492584742880 has 576 divisors, whose sum is σ = 41989181951808. Its totient is φ = 2852318085120.

The previous prime is 11492584742879. The next prime is 11492584742917. The reversal of 11492584742880 is 8824748529411.

11492584742880 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 2 + 584 + 7 + 42 + 8 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1264167135 + ... + 1264176225.

It is an arithmetic number, because the mean of its divisors is an integer number (72897885333).

Almost surely, 2^{11492584742880} is an apocalyptic number.

11492584742880 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 11492584742880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20994590975904).

11492584742880 is an abundant number, since it is smaller than the sum of its proper divisors (30496597208928).

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

11492584742880 is a wasteful number, since it uses less digits than its factorization.

11492584742880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9699 (or 9688 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 11492584742880 in words is "eleven trillion, four hundred ninety-two billion, five hundred eighty-four million, seven hundred forty-two thousand, eight hundred eighty".