57306122496 has 324 divisors, whose sum is σ = 194222214732. Its totient is φ = 16201285632.

The previous prime is 57306122483. The next prime is 57306122537. The reversal of 57306122496 is 69422160375.

57306122496 is a `hidden beast` number, since 5 + 7 + 3 + 0 + 612 + 24 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43397222400 + 13908900096 = 208320^2 + 117936^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10948296 + ... + 10953528.

Almost surely, 2^57306122496 is an apocalyptic number.

57306122496 is a gapful number since it is divisible by the number (56) 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 57306122496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97111107366).

57306122496 is an abundant number, since it is smaller than the sum of its proper divisors (136916092236).

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

57306122496 is a wasteful number, since it uses less digits than its factorization.

57306122496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5366 (or 5342 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 57306122496 in words is "fifty-seven billion, three hundred six million, one hundred twenty-two thousand, four hundred ninety-six".