2563456896000 has 5280 divisors, whose sum is σ = 13576259473920. Its totient is φ = 465813504000.

The previous prime is 2563456895977. The next prime is 2563456896017. The reversal of 2563456896000 is 6986543652.

2563456896000 is a `hidden beast` number, since 2 + 56 + 3 + 456 + 89 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

It is a super-2 number, since 2×2563456896000² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 134918783991 + ... + 134918784009.

It is an arithmetic number, because the mean of its divisors is an integer number (2571261264).

Almost surely, 2^{2563456896000} is an apocalyptic number.

2563456896000 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 2563456896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6788129736960).

2563456896000 is an abundant number, since it is smaller than the sum of its proper divisors (11012802577920).

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

2563456896000 is a wasteful number, since it uses less digits than its factorization.

2563456896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 2563456896000 in words is "two trillion, five hundred sixty-three billion, four hundred fifty-six million, eight hundred ninety-six thousand".