1255813988400 has 360 divisors, whose sum is σ = 4576667630080. Its totient is φ = 330642673920.

The previous prime is 1255813988389. The next prime is 1255813988413. The reversal of 1255813988400 is 48893185521.

1255813988400 is a `hidden beast` number, since 1 + 2 + 55 + 81 + 39 + 88 + 400 = 666.

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

It is a super-2 number, since 2×1255813988400² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7597029 + ... + 7760571.

Almost surely, 2^{1255813988400} is an apocalyptic number.

1255813988400 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 1255813988400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288333815040).

1255813988400 is an abundant number, since it is smaller than the sum of its proper divisors (3320853641680).

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

1255813988400 is a wasteful number, since it uses less digits than its factorization.

1255813988400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163655 (or 163632 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 1255813988400 in words is "one trillion, two hundred fifty-five billion, eight hundred thirteen million, nine hundred eighty-eight thousand, four hundred".