2563848516096 has 600 divisors, whose sum is σ = 9370442418480. Its totient is φ = 693963583488.

The previous prime is 2563848516037. The next prime is 2563848516101. The reversal of 2563848516096 is 6906158483652.

It is a happy number.

2563848516096 is a `hidden beast` number, since 2 + 5 + 6 + 3 + 8 + 485 + 1 + 60 + 96 = 666.

It is a super-2 number, since 2×2563848516096² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 38577231 + ... + 38643633.

Almost surely, 2^{2563848516096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2563848516096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4685221209240).

2563848516096 is an abundant number, since it is smaller than the sum of its proper divisors (6806593902384).

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

2563848516096 is an equidigital number, since it uses as much as digits as its factorization.

2563848516096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66466 (or 66434 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 2563848516096 in words is "two trillion, five hundred sixty-three billion, eight hundred forty-eight million, five hundred sixteen thousand, ninety-six".