57562566084 has 81 divisors (see below), whose sum is σ = 151196149741. Its totient is φ = 19174566240.

The previous prime is 57562566071. The next prime is 57562566091. The reversal of 57562566084 is 48066526575.

The square root of 57562566084 is 239922.

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

57562566084 is a `hidden beast` number, since 5 + 7 + 5 + 6 + 25 + 6 + 608 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24642092484 + 32920473600 = 156978^2 + 181440^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 57562566084.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38866624 + ... + 38868104.

Almost surely, 2^57562566084 is an apocalyptic number.

57562566084 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

57562566084 is the 239922-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57562566084

57562566084 is an abundant number, since it is smaller than the sum of its proper divisors (93633583657).

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

57562566084 is an frugal number, since it uses more digits than its factorization.

57562566084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 57562566084 in words is "fifty-seven billion, five hundred sixty-two million, five hundred sixty-six thousand, eighty-four".