2553116231640 has 256 divisors, whose sum is σ = 8290879027200. Its totient is φ = 625239281664.

The previous prime is 2553116231551. The next prime is 2553116231713. The reversal of 2553116231640 is 461326113552.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 344221212 + ... + 344228628.

It is an arithmetic number, because the mean of its divisors is an integer number (32386246200).

Almost surely, 2^{2553116231640} is an apocalyptic number.

2553116231640 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 2553116231640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4145439513600).

2553116231640 is an abundant number, since it is smaller than the sum of its proper divisors (5737762795560).

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

2553116231640 is a wasteful number, since it uses less digits than its factorization.

2553116231640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8546 (or 8542 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 2553116231640 in words is "two trillion, five hundred fifty-three billion, one hundred sixteen million, two hundred thirty-one thousand, six hundred forty".