1155025804800 has 720 divisors, whose sum is σ = 4699721988720. Its totient is φ = 248469258240.

The previous prime is 1155025804739. The next prime is 1155025804859. The reversal of 1155025804800 is 84085205511.

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, 31969146 + ... + 32005254.

It is an arithmetic number, because the mean of its divisors is an integer number (6527391651).

Almost surely, 2^{1155025804800} is an apocalyptic number.

1155025804800 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 1155025804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349860994360).

1155025804800 is an abundant number, since it is smaller than the sum of its proper divisors (3544696183920).

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

1155025804800 is a wasteful number, since it uses less digits than its factorization.

1155025804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36171 (or 36143 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 39.

The spelling of 1155025804800 in words is "one trillion, one hundred fifty-five billion, twenty-five million, eight hundred four thousand, eight hundred".