57782925760 has 224 divisors, whose sum is σ = 166177935360. Its totient is φ = 18708738048.

The previous prime is 57782925743. The next prime is 57782925769. The reversal of 57782925760 is 6752928775.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 57782925695 and 57782925704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57782925769) 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, 4062982 + ... + 4077178.

Almost surely, 2^57782925760 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 57782925760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83088967680).

57782925760 is an abundant number, since it is smaller than the sum of its proper divisors (108395009600).

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

57782925760 is a wasteful number, since it uses less digits than its factorization.

57782925760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14323 (or 14313 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 58.

The spelling of 57782925760 in words is "fifty-seven billion, seven hundred eighty-two million, nine hundred twenty-five thousand, seven hundred sixty".