2557918993680 has 120 divisors (see below), whose sum is σ = 8711335563840. Its totient is φ = 672504510720.

The previous prime is 2557918993649. The next prime is 2557918993687. The reversal of 2557918993680 is 863998197552.

2557918993680 is a `hidden beast` number, since 2 + 5 + 579 + 18 + 9 + 9 + 36 + 8 + 0 = 666.

2557918993680 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2557918993599 and 2557918993608.

It is not an unprimeable number, because it can be changed into a prime (2557918993687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24967650 + ... + 25069889.

It is an arithmetic number, because the mean of its divisors is an integer number (72594463032).

Almost surely, 2^{2557918993680} is an apocalyptic number.

2557918993680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2557918993680 is an abundant number, since it is smaller than the sum of its proper divisors (6153416570160).

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

2557918993680 is a wasteful number, since it uses less digits than its factorization.

2557918993680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50037629 (or 50037620 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 72.

The spelling of 2557918993680 in words is "two trillion, five hundred fifty-seven billion, nine hundred eighteen million, nine hundred ninety-three thousand, six hundred eighty".