57408880320 has 1344 divisors, whose sum is σ = 243274876416. Its totient is φ = 12262440960.

The previous prime is 57408880267. The next prime is 57408880367. The reversal of 57408880320 is 2308880475.

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

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, 856848927 + ... + 856848993.

Almost surely, 2^57408880320 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 57408880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121637438208).

57408880320 is an abundant number, since it is smaller than the sum of its proper divisors (185865996096).

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

57408880320 is a wasteful number, since it uses less digits than its factorization.

57408880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 57408880320 in words is "fifty-seven billion, four hundred eight million, eight hundred eighty thousand, three hundred twenty".