57745917306 has 384 divisors, whose sum is σ = 168169881600. Its totient is φ = 14361494400.

The previous prime is 57745917293. The next prime is 57745917323. The reversal of 57745917306 is 60371954775.

57745917306 is a `hidden beast` number, since 577 + 4 + 59 + 17 + 3 + 0 + 6 = 666.

It is a super-2 number, since 2×57745917306² (a number of 22 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 191 ways as a sum of consecutive naturals, for example, 197084896 + ... + 197085188.

It is an arithmetic number, because the mean of its divisors is an integer number (437942400).

Almost surely, 2^57745917306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57745917306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84084940800).

57745917306 is an abundant number, since it is smaller than the sum of its proper divisors (110423964294).

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

57745917306 is a wasteful number, since it uses less digits than its factorization.

57745917306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 57745917306 in words is "fifty-seven billion, seven hundred forty-five million, nine hundred seventeen thousand, three hundred six".