1023256555200 has 1008 divisors, whose sum is σ = 4122740100960. Its totient is φ = 238436352000.

The previous prime is 1023256555177. The next prime is 1023256555231. The reversal of 1023256555200 is 25556523201.

1023256555200 is a `hidden beast` number, since 1 + 0 + 2 + 32 + 56 + 55 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1548042870 + ... + 1548043530.

Almost surely, 2^{1023256555200} is an apocalyptic number.

1023256555200 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 1023256555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061370050480).

1023256555200 is an abundant number, since it is smaller than the sum of its proper divisors (3099483545760).

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

1023256555200 is a wasteful number, since it uses less digits than its factorization.

1023256555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 1023256555200 in words is "one trillion, twenty-three billion, two hundred fifty-six million, five hundred fifty-five thousand, two hundred".