2553560510336 has 128 divisors (see below), whose sum is σ = 5820906101760. Its totient is φ = 1105309255680.

The previous prime is 2553560510287. The next prime is 2553560510341. The reversal of 2553560510336 is 6330150653552.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1927061 + ... + 2969963.

It is an arithmetic number, because the mean of its divisors is an integer number (45475828920).

Almost surely, 2^{2553560510336} 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 2553560510336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910453050880).

2553560510336 is an abundant number, since it is smaller than the sum of its proper divisors (3267345591424).

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

2553560510336 is a wasteful number, since it uses less digits than its factorization.

2553560510336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043012 (or 1043000 counting only the distinct ones).

The product of its (nonzero) digits is 1215000, while the sum is 44.

The spelling of 2553560510336 in words is "two trillion, five hundred fifty-three billion, five hundred sixty million, five hundred ten thousand, three hundred thirty-six".