57053348352 has 1920 divisors, whose sum is σ = 250783948800. Its totient is φ = 12541132800.

The previous prime is 57053348351. The next prime is 57053348449. The reversal of 57053348352 is 25384335075.

57053348352 is a `hidden beast` number, since 5 + 70 + 53 + 3 + 483 + 52 = 666.

It is a super-2 number, since 2×57053348352² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57053348298 and 57053348307.

It is not an unprimeable number, because it can be changed into a prime (57053348351) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1840430577 + ... + 1840430607.

It is an arithmetic number, because the mean of its divisors is an integer number (130616640).

Almost surely, 2^57053348352 is an apocalyptic number.

57053348352 is a gapful number since it is divisible by the number (52) 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 57053348352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125391974400).

57053348352 is an abundant number, since it is smaller than the sum of its proper divisors (193730600448).

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

57053348352 is a wasteful number, since it uses less digits than its factorization.

57053348352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 57053348352 in words is "fifty-seven billion, fifty-three million, three hundred forty-eight thousand, three hundred fifty-two".