57353902848 has 288 divisors, whose sum is σ = 186173406720. Its totient is φ = 17272074240.

The previous prime is 57353902829. The next prime is 57353902849. The reversal of 57353902848 is 84820935375.

57353902848 is a `hidden beast` number, since 5 + 7 + 353 + 9 + 0 + 284 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×57353902848² (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 a junction number, because it is equal to n+sod(n) for n = 57353902794 and 57353902803.

It is not an unprimeable number, because it can be changed into a prime (57353902849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12695086 + ... + 12699602.

It is an arithmetic number, because the mean of its divisors is an integer number (646435440).

Almost surely, 2^57353902848 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 57353902848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93086703360).

57353902848 is an abundant number, since it is smaller than the sum of its proper divisors (128819503872).

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

57353902848 is a wasteful number, since it uses less digits than its factorization.

57353902848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4720 (or 4700 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 57353902848 in words is "fifty-seven billion, three hundred fifty-three million, nine hundred two thousand, eight hundred forty-eight".