57782095566720 has 2048 divisors, whose sum is σ = 231473479680000. Its totient is φ = 11974098419712.

The previous prime is 57782095566707. The next prime is 57782095566721. The reversal of 57782095566720 is 2766559028775.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57782095566721) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 120630679441 + ... + 120630679919.

It is an arithmetic number, because the mean of its divisors is an integer number (113024160000).

Almost surely, 2^{57782095566720} 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 57782095566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115736739840000).

57782095566720 is an abundant number, since it is smaller than the sum of its proper divisors (173691384113280).

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

57782095566720 is a wasteful number, since it uses less digits than its factorization.

57782095566720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 444528000, while the sum is 69.

The spelling of 57782095566720 in words is "fifty-seven trillion, seven hundred eighty-two billion, ninety-five million, five hundred sixty-six thousand, seven hundred twenty".