1255506739200 has 2304 divisors, whose sum is σ = 5750328205440. Its totient is φ = 264996126720.

The previous prime is 1255506739181. The next prime is 1255506739211. The reversal of 1255506739200 is 29376055521.

1255506739200 is a `hidden beast` number, since 1 + 2 + 5 + 550 + 6 + 7 + 3 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23688806374 + ... + 23688806426.

Almost surely, 2^{1255506739200} is an apocalyptic number.

1255506739200 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 1255506739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875164102720).

1255506739200 is an abundant number, since it is smaller than the sum of its proper divisors (4494821466240).

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

1255506739200 is an frugal number, since it uses more digits than its factorization.

1255506739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 1255506739200 in words is "one trillion, two hundred fifty-five billion, five hundred six million, seven hundred thirty-nine thousand, two hundred".