57761309952 has 216 divisors, whose sum is σ = 173122106976. Its totient is φ = 19207673856.

The previous prime is 57761309941. The next prime is 57761309971. The reversal of 57761309952 is 25990316775.

57761309952 is a `hidden beast` number, since 577 + 6 + 13 + 0 + 9 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34649023 + ... + 34650689.

It is an arithmetic number, because the mean of its divisors is an integer number (801491236).

Almost surely, 2^57761309952 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 57761309952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86561053488).

57761309952 is an abundant number, since it is smaller than the sum of its proper divisors (115360797024).

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

57761309952 is an equidigital number, since it uses as much as digits as its factorization.

57761309952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 57761309952 in words is "fifty-seven billion, seven hundred sixty-one million, three hundred nine thousand, nine hundred fifty-two".