2557496540160 has 528 divisors, whose sum is σ = 9249109056096. Its totient is φ = 677603377152.

The previous prime is 2557496540119. The next prime is 2557496540177. The reversal of 2557496540160 is 610456947552.

2557496540160 is a `hidden beast` number, since 2 + 5 + 5 + 7 + 4 + 96 + 540 + 1 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2557496540097 and 2557496540106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195326574 + ... + 195339666.

Almost surely, 2^{2557496540160} is an apocalyptic number.

2557496540160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2557496540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4624554528048).

2557496540160 is an abundant number, since it is smaller than the sum of its proper divisors (6691612515936).

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

2557496540160 is a wasteful number, since it uses less digits than its factorization.

2557496540160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13290 (or 13260 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 2557496540160 in words is "two trillion, five hundred fifty-seven billion, four hundred ninety-six million, five hundred forty thousand, one hundred sixty".