2555529966000 has 1280 divisors, whose sum is σ = 10268599910400. Its totient is φ = 602227584000.

The previous prime is 2555529965999. The next prime is 2555529966001. The reversal of 2555529966000 is 6699255552.

2555529966000 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 5 + 29 + 9 + 6 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2555529965999) and next prime (2555529966001).

It is a super-2 number, since 2×2555529966000² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2555529966001) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 6672401809 + ... + 6672402191.

It is an arithmetic number, because the mean of its divisors is an integer number (8022343680).

Almost surely, 2^{2555529966000} is an apocalyptic number.

2555529966000 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 2555529966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5134299955200).

2555529966000 is an abundant number, since it is smaller than the sum of its proper divisors (7713069944400).

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

2555529966000 is a wasteful number, since it uses less digits than its factorization.

2555529966000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 54.

The spelling of 2555529966000 in words is "two trillion, five hundred fifty-five billion, five hundred twenty-nine million, nine hundred sixty-six thousand".