57756465984 has 224 divisors, whose sum is σ = 178211439360. Its totient is φ = 16168255488.

The previous prime is 57756465983. The next prime is 57756466051. The reversal of 57756465984 is 48956465775.

57756465984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57756465983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13514472 + ... + 13518744.

Almost surely, 2^57756465984 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 57756465984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89105719680).

57756465984 is an abundant number, since it is smaller than the sum of its proper divisors (120454973376).

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

57756465984 is a wasteful number, since it uses less digits than its factorization.

57756465984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4497 (or 4487 counting only the distinct ones).

The product of its digits is 254016000, while the sum is 66.

The spelling of 57756465984 in words is "fifty-seven billion, seven hundred fifty-six million, four hundred sixty-five thousand, nine hundred eighty-four".