5579274121344 has 768 divisors, whose sum is σ = 20789850332160. Its totient is φ = 1446933196800.

The previous prime is 5579274121327. The next prime is 5579274121357. The reversal of 5579274121344 is 4431214729755.

5579274121344 is a `hidden beast` number, since 5 + 5 + 7 + 9 + 274 + 1 + 21 + 344 = 666.

It is a super-2 number, since 2×5579274121344² (a number of 26 digits) contains 22 as substring.

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

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, 2042940459 + ... + 2042943189.

It is an arithmetic number, because the mean of its divisors is an integer number (27070117620).

Almost surely, 2^{5579274121344} is an apocalyptic number.

5579274121344 is a gapful number since it is divisible by the number (54) 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 5579274121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10394925166080).

5579274121344 is an abundant number, since it is smaller than the sum of its proper divisors (15210576210816).

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

5579274121344 is a wasteful number, since it uses less digits than its factorization.

5579274121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3631 (or 3607 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 5579274121344 in words is "five trillion, five hundred seventy-nine billion, two hundred seventy-four million, one hundred twenty-one thousand, three hundred forty-four".