57380233680 has 960 divisors, whose sum is σ = 255326515200. Its totient is φ = 11506406400.

The previous prime is 57380233621. The next prime is 57380233723. The reversal of 57380233680 is 8633208375.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 159833341 + ... + 159833699.

It is an arithmetic number, because the mean of its divisors is an integer number (265965120).

Almost surely, 2^57380233680 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 57380233680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127663257600).

57380233680 is an abundant number, since it is smaller than the sum of its proper divisors (197946281520).

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

57380233680 is a wasteful number, since it uses less digits than its factorization.

57380233680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 57380233680 in words is "fifty-seven billion, three hundred eighty million, two hundred thirty-three thousand, six hundred eighty".