2557086499968 has 1024 divisors, whose sum is σ = 9475522560000. Its totient is φ = 589627146240.

The previous prime is 2557086499901. The next prime is 2557086499973. The reversal of 2557086499968 is 8699946807552.

It is a Smith number, since the sum of its digits (78) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 2557086499893 and 2557086499902.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1065895633 + ... + 1065898031.

It is an arithmetic number, because the mean of its divisors is an integer number (9253440000).

Almost surely, 2^{2557086499968} is an apocalyptic number.

2557086499968 is a gapful number since it is divisible by the number (28) 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 2557086499968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4737761280000).

2557086499968 is an abundant number, since it is smaller than the sum of its proper divisors (6918436060032).

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

2557086499968 is a wasteful number, since it uses less digits than its factorization.

2557086499968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 2351462400, while the sum is 78.

The spelling of 2557086499968 in words is "two trillion, five hundred fifty-seven billion, eighty-six million, four hundred ninety-nine thousand, nine hundred sixty-eight".