2557663395840 has 720 divisors, whose sum is σ = 10578760416000. Its totient is φ = 584584003584.

The previous prime is 2557663395829. The next prime is 2557663395857. The reversal of 2557663395840 is 485933667552.

It is a happy number.

2557663395840 is a `hidden beast` number, since 2 + 5 + 576 + 6 + 3 + 3 + 9 + 58 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 108368361 + ... + 108391959.

It is an arithmetic number, because the mean of its divisors is an integer number (14692722800).

Almost surely, 2^{2557663395840} is an apocalyptic number.

2557663395840 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 2557663395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5289380208000).

2557663395840 is an abundant number, since it is smaller than the sum of its proper divisors (8021097020160).

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

2557663395840 is an equidigital number, since it uses as much as digits as its factorization.

2557663395840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23655 (or 23616 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 63.

The spelling of 2557663395840 in words is "two trillion, five hundred fifty-seven billion, six hundred sixty-three million, three hundred ninety-five thousand, eight hundred forty".