2563257312000 has 2016 divisors, whose sum is σ = 11944420959744. Its totient is φ = 532251648000.

The previous prime is 2563257311987. The next prime is 2563257312059. The reversal of 2563257312000 is 2137523652.

2563257312000 is a `hidden beast` number, since 2 + 5 + 63 + 2 + 573 + 1 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1796255287 + ... + 1796256713.

It is an arithmetic number, because the mean of its divisors is an integer number (5924811984).

Almost surely, 2^{2563257312000} is an apocalyptic number.

2563257312000 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 2563257312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5972210479872).

2563257312000 is an abundant number, since it is smaller than the sum of its proper divisors (9381163647744).

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

2563257312000 is an equidigital number, since it uses as much as digits as its factorization.

2563257312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 2563257312000 in words is "two trillion, five hundred sixty-three billion, two hundred fifty-seven million, three hundred twelve thousand".