2653268555200 has 336 divisors, whose sum is σ = 6991997858496. Its totient is φ = 988519628800.

The previous prime is 2653268555191. The next prime is 2653268555233. The reversal of 2653268555200 is 25558623562.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 985245054 + ... + 985247746.

It is an arithmetic number, because the mean of its divisors is an integer number (20809517436).

Almost surely, 2^{2653268555200} is an apocalyptic number.

2653268555200 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 2653268555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495998929248).

2653268555200 is an abundant number, since it is smaller than the sum of its proper divisors (4338729303296).

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

2653268555200 is a wasteful number, since it uses less digits than its factorization.

2653268555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 49.

The spelling of 2653268555200 in words is "two trillion, six hundred fifty-three billion, two hundred sixty-eight million, five hundred fifty-five thousand, two hundred".