2255663277120 has 448 divisors, whose sum is σ = 8071317798912. Its totient is φ = 528761856000.

The previous prime is 2255663277107. The next prime is 2255663277121. The reversal of 2255663277120 is 217723665522.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2255663277120.

It is not an unprimeable number, because it can be changed into a prime (2255663277121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 614452885 + ... + 614456555.

Almost surely, 2^{2255663277120} is an apocalyptic number.

2255663277120 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 2255663277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4035658899456).

2255663277120 is an abundant number, since it is smaller than the sum of its proper divisors (5815654521792).

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

2255663277120 is a wasteful number, since it uses less digits than its factorization.

2255663277120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5610 (or 5600 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 2255663277120 in words is "two trillion, two hundred fifty-five billion, six hundred sixty-three million, two hundred seventy-seven thousand, one hundred twenty".