57408341760 has 2016 divisors, whose sum is σ = 277956790272. Its totient is φ = 10988421120.

The previous prime is 57408341741. The next prime is 57408341773. The reversal of 57408341760 is 6714380475.

57408341760 is a `hidden beast` number, since 574 + 0 + 8 + 3 + 4 + 1 + 76 + 0 = 666.

57408341760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

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 223 ways as a sum of consecutive naturals, for example, 1221454057 + ... + 1221454103.

It is an arithmetic number, because the mean of its divisors is an integer number (137875392).

Almost surely, 2^57408341760 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 57408341760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138978395136).

57408341760 is an abundant number, since it is smaller than the sum of its proper divisors (220548448512).

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

57408341760 is a wasteful number, since it uses less digits than its factorization.

57408341760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 57408341760 in words is "fifty-seven billion, four hundred eight million, three hundred forty-one thousand, seven hundred sixty".