57476713826448 has 240 divisors, whose sum is σ = 193686208110720. Its totient is φ = 15543419111424.

The previous prime is 57476713826447. The next prime is 57476713826473. The reversal of 57476713826448 is 84462831767475.

57476713826448 is a `hidden beast` number, since 5 + 7 + 47 + 6 + 7 + 138 + 2 + 6 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (57476713826447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19641886 + ... + 22377602.

It is an arithmetic number, because the mean of its divisors is an integer number (807025867128).

Almost surely, 2^{57476713826448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57476713826448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96843104055360).

57476713826448 is an abundant number, since it is smaller than the sum of its proper divisors (136209494284272).

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

57476713826448 is a wasteful number, since it uses less digits than its factorization.

57476713826448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736854 (or 2736845 counting only the distinct ones).

The product of its digits is 1517322240, while the sum is 72.

The spelling of 57476713826448 in words is "fifty-seven trillion, four hundred seventy-six billion, seven hundred thirteen million, eight hundred twenty-six thousand, four hundred forty-eight".