2550808460772 has 1152 divisors, whose sum is σ = 8606352384000. Its totient is φ = 644993556480.

The previous prime is 2550808460737. The next prime is 2550808460791. The reversal of 2550808460772 is 2770648080552.

2550808460772 is a `hidden beast` number, since 2 + 5 + 508 + 0 + 8 + 4 + 60 + 7 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10672838629 + ... + 10672838867.

It is an arithmetic number, because the mean of its divisors is an integer number (7470792000).

Almost surely, 2^{2550808460772} is an apocalyptic number.

2550808460772 is a gapful number since it is divisible by the number (22) 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 2550808460772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303176192000).

2550808460772 is an abundant number, since it is smaller than the sum of its proper divisors (6055543923228).

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

2550808460772 is a wasteful number, since it uses less digits than its factorization.

2550808460772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 2550808460772 in words is "two trillion, five hundred fifty billion, eight hundred eight million, four hundred sixty thousand, seven hundred seventy-two".