57406505244480 has 504 divisors, whose sum is σ = 229739946928128. Its totient is φ = 13118743443456.

The previous prime is 57406505244463. The next prime is 57406505244481. The reversal of 57406505244480 is 8444250560475.

57406505244480 is a `hidden beast` number, since 5 + 74 + 0 + 6 + 5 + 0 + 52 + 44 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57406505244481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 717837457 + ... + 717917423.

It is an arithmetic number, because the mean of its divisors is an integer number (455833228032).

Almost surely, 2^{57406505244480} 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 57406505244480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114869973464064).

57406505244480 is an abundant number, since it is smaller than the sum of its proper divisors (172333441683648).

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

57406505244480 is a wasteful number, since it uses less digits than its factorization.

57406505244480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85091 (or 85071 counting only the distinct ones).

The product of its (nonzero) digits is 21504000, while the sum is 54.

The spelling of 57406505244480 in words is "fifty-seven trillion, four hundred six billion, five hundred five million, two hundred forty-four thousand, four hundred eighty".