1255116949200 has 360 divisors, whose sum is σ = 4742952458400. Its totient is φ = 306147824640.

The previous prime is 1255116949193. The next prime is 1255116949211. The reversal of 1255116949200 is 29496115521.

1255116949200 is a `hidden beast` number, since 1 + 2 + 551 + 1 + 6 + 9 + 4 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1667227 + ... + 2299973.

It is an arithmetic number, because the mean of its divisors is an integer number (13174867940).

Almost surely, 2^{1255116949200} is an apocalyptic number.

1255116949200 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 1255116949200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371476229200).

1255116949200 is an abundant number, since it is smaller than the sum of its proper divisors (3487835509200).

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

1255116949200 is a wasteful number, since it uses less digits than its factorization.

1255116949200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632819 (or 632805 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 1255116949200 in words is "one trillion, two hundred fifty-five billion, one hundred sixteen million, nine hundred forty-nine thousand, two hundred".