57105705024 has 105 divisors (see below), whose sum is σ = 169330217727. Its totient is φ = 19029499776.

The previous prime is 57105705017. The next prime is 57105705031. The reversal of 57105705024 is 42050750175.

The square root of 57105705024 is 238968.

It is a perfect power (a square), and thus also a powerful number.

57105705024 is a `hidden beast` number, since 5 + 7 + 10 + 570 + 50 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (57105705017) and next prime (57105705031).

It is a super-2 number, since 2×57105705024² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 57105705024.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 17204037 + ... + 17207355.

Almost surely, 2^57105705024 is an apocalyptic number.

57105705024 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

57105705024 is the 238968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57105705024

57105705024 is an abundant number, since it is smaller than the sum of its proper divisors (112224512703).

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

57105705024 is an frugal number, since it uses more digits than its factorization.

57105705024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6662 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

Multiplying 57105705024 by its sum of digits (36), we get a square (2055805380864 = 1433808²).

57105705024 divided by its sum of digits (36) gives a square (1586269584 = 39828²).

It can be divided in two parts, 57105 and 705024, that added together give a square (762129 = 873²).

The spelling of 57105705024 in words is "fifty-seven billion, one hundred five million, seven hundred five thousand, twenty-four".