57300122405856 has 192 divisors, whose sum is σ = 165694916217600. Its totient is φ = 17193691238400.

The previous prime is 57300122405849. The next prime is 57300122405893. The reversal of 57300122405856 is 65850422100375.

It is a super-3 number, since 3×57300122405856³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186199636 + ... + 186507116.

It is an arithmetic number, because the mean of its divisors is an integer number (862994355300).

Almost surely, 2^{57300122405856} 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 57300122405856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82847458108800).

57300122405856 is an abundant number, since it is smaller than the sum of its proper divisors (108394793811744).

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

57300122405856 is a wasteful number, since it uses less digits than its factorization.

57300122405856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309233 (or 309225 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 48.

The spelling of 57300122405856 in words is "fifty-seven trillion, three hundred billion, one hundred twenty-two million, four hundred five thousand, eight hundred fifty-six".