57259338480 has 160 divisors (see below), whose sum is σ = 200460294720. Its totient is φ = 15018808320.

The previous prime is 57259338473. The next prime is 57259338589. The reversal of 57259338480 is 8483395275.

57259338480 is a `hidden beast` number, since 5 + 7 + 2 + 593 + 3 + 8 + 48 + 0 = 666.

57259338480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85527 + ... + 349046.

It is an arithmetic number, because the mean of its divisors is an integer number (1252876842).

Almost surely, 2^57259338480 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 57259338480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100230147360).

57259338480 is an abundant number, since it is smaller than the sum of its proper divisors (143200956240).

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

57259338480 is a wasteful number, since it uses less digits than its factorization.

57259338480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434656 (or 434644 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 57259338480 in words is "fifty-seven billion, two hundred fifty-nine million, three hundred thirty-eight thousand, four hundred eighty".