1085256547200 has 864 divisors, whose sum is σ = 4524788988720. Its totient is φ = 246951936000.

The previous prime is 1085256547189. The next prime is 1085256547223. The reversal of 1085256547200 is 27456525801.

1085256547200 is a `hidden beast` number, since 1 + 0 + 8 + 52 + 56 + 547 + 2 + 0 + 0 = 666.

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 107 ways as a sum of consecutive naturals, for example, 340097605 + ... + 340100795.

Almost surely, 2^{1085256547200} is an apocalyptic number.

1085256547200 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 1085256547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262394494360).

1085256547200 is an abundant number, since it is smaller than the sum of its proper divisors (3439532441520).

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

1085256547200 is a wasteful number, since it uses less digits than its factorization.

1085256547200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3476 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 1085256547200 in words is "one trillion, eighty-five billion, two hundred fifty-six million, five hundred forty-seven thousand, two hundred".