1255334005200 has 720 divisors, whose sum is σ = 4671575375040. Its totient is φ = 287137382400.

The previous prime is 1255334005157. The next prime is 1255334005217. The reversal of 1255334005200 is 25004335521.

It is a super-2 number, since 2×1255334005200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 143 ways as a sum of consecutive naturals, for example, 808327624 + ... + 808329176.

It is an arithmetic number, because the mean of its divisors is an integer number (6488299132).

Almost surely, 2^{1255334005200} is an apocalyptic number.

1255334005200 is a gapful number since it is divisible by the number (10) 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 1255334005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335787687520).

1255334005200 is an abundant number, since it is smaller than the sum of its proper divisors (3416241369840).

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

1255334005200 is a wasteful number, since it uses less digits than its factorization.

1255334005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 1255334005200 in words is "one trillion, two hundred fifty-five billion, three hundred thirty-four million, five thousand, two hundred".