57805332480 has 1120 divisors, whose sum is σ = 251202504960. Its totient is φ = 12421693440.

The previous prime is 57805332479. The next prime is 57805332493. The reversal of 57805332480 is 8423350875.

57805332480 is a `hidden beast` number, since 5 + 78 + 0 + 533 + 2 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 79 ways as a sum of consecutive naturals, for example, 441262015 + ... + 441262145.

Almost surely, 2^57805332480 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 57805332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125601252480).

57805332480 is an abundant number, since it is smaller than the sum of its proper divisors (193397172480).

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

57805332480 is a wasteful number, since it uses less digits than its factorization.

57805332480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 57805332480 in words is "fifty-seven billion, eight hundred five million, three hundred thirty-two thousand, four hundred eighty".