27402404125824 has 1536 divisors, whose sum is σ = 106257128140800. Its totient is φ = 6826281910272.

The previous prime is 27402404125807. The next prime is 27402404125853. The reversal of 27402404125824 is 42852140420472.

It is a happy number.

27402404125824 is a `hidden beast` number, since 2 + 7 + 4 + 0 + 24 + 0 + 41 + 2 + 582 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 27402404125824.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27050743942 + ... + 27050744954.

It is an arithmetic number, because the mean of its divisors is an integer number (69177817800).

Almost surely, 2^{27402404125824} is an apocalyptic number.

27402404125824 is a gapful number since it is divisible by the number (24) 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 27402404125824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53128564070400).

27402404125824 is an abundant number, since it is smaller than the sum of its proper divisors (78854724014976).

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

27402404125824 is a wasteful number, since it uses less digits than its factorization.

27402404125824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 45.

The spelling of 27402404125824 in words is "twenty-seven trillion, four hundred two billion, four hundred four million, one hundred twenty-five thousand, eight hundred twenty-four".