2553760939392 has 640 divisors, whose sum is σ = 8647555593600. Its totient is φ = 742481510400.

The previous prime is 2553760939349. The next prime is 2553760939397. The reversal of 2553760939392 is 2939390673552.

2553760939392 is a `hidden beast` number, since 2 + 5 + 5 + 376 + 0 + 93 + 93 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553760939397) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 183703642 + ... + 183717542.

It is an arithmetic number, because the mean of its divisors is an integer number (13511805615).

Almost surely, 2^{2553760939392} 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 2553760939392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4323777796800).

2553760939392 is an abundant number, since it is smaller than the sum of its proper divisors (6093794654208).

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

2553760939392 is a wasteful number, since it uses less digits than its factorization.

2553760939392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14016 (or 13995 counting only the distinct ones).

The product of its (nonzero) digits is 82668600, while the sum is 63.

The spelling of 2553760939392 in words is "two trillion, five hundred fifty-three billion, seven hundred sixty million, nine hundred thirty-nine thousand, three hundred ninety-two".