2553606871776 has 192 divisors, whose sum is σ = 7918872413760. Its totient is φ = 797806264320.

The previous prime is 2553606871757. The next prime is 2553606871811. The reversal of 2553606871776 is 6771786063552.

It is a happy number.

2553606871776 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 606 + 8 + 7 + 17 + 7 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3179110 + ... + 3900506.

It is an arithmetic number, because the mean of its divisors is an integer number (41244127155).

Almost surely, 2^{2553606871776} 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 2553606871776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959436206880).

2553606871776 is an abundant number, since it is smaller than the sum of its proper divisors (5365265541984).

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

2553606871776 is a wasteful number, since it uses less digits than its factorization.

2553606871776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721674 (or 721660 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 2553606871776 in words is "two trillion, five hundred fifty-three billion, six hundred six million, eight hundred seventy-one thousand, seven hundred seventy-six".