5257058370480 has 1440 divisors, whose sum is σ = 21606177116160. Its totient is φ = 1140828917760.

The previous prime is 5257058370479. The next prime is 5257058370481. The reversal of 5257058370480 is 840738507525.

5257058370480 is a `hidden beast` number, since 5 + 2 + 57 + 0 + 583 + 7 + 0 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5257058370479) and next prime (5257058370481).

It is not an unprimeable number, because it can be changed into a prime (5257058370481) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19542967786 + ... + 19542968054.

It is an arithmetic number, because the mean of its divisors is an integer number (15004289664).

Almost surely, 2^{5257058370480} 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 5257058370480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10803088558080).

5257058370480 is an abundant number, since it is smaller than the sum of its proper divisors (16349118745680).

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

5257058370480 is a wasteful number, since it uses less digits than its factorization.

5257058370480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 5257058370480 in words is "five trillion, two hundred fifty-seven billion, fifty-eight million, three hundred seventy thousand, four hundred eighty".