57709491984 has 75 divisors (see below), whose sum is σ = 167053046853. Its totient is φ = 19233614592.

The previous prime is 57709491979. The next prime is 57709491989. The reversal of 57709491984 is 48919490775.

The square root of 57709491984 is 240228.

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

57709491984 is a `hidden beast` number, since 57 + 7 + 0 + 9 + 491 + 98 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (57709491979) and next prime (57709491989).

It can be written as a sum of positive squares in only one way, i.e., 2073891600 + 55635600384 = 45540^2 + 235872^2 .

It is not an unprimeable number, because it can be changed into a prime (57709491989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8644872 + ... + 8651544.

Almost surely, 2^57709491984 is an apocalyptic number.

57709491984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

57709491984 is the 240228-th square number.

It is an amenable number.

57709491984 is an abundant number, since it is smaller than the sum of its proper divisors (109343554869).

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

57709491984 is an frugal number, since it uses more digits than its factorization.

57709491984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13366 (or 6678 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 57709491984 in words is "fifty-seven billion, seven hundred nine million, four hundred ninety-one thousand, nine hundred eighty-four".