1087233811200 has 648 divisors, whose sum is σ = 4032487748016. Its totient is φ = 279244800000.

The previous prime is 1087233811109. The next prime is 1087233811243. The reversal of 1087233811200 is 21183327801.

1087233811200 is a `hidden beast` number, since 1 + 0 + 8 + 72 + 3 + 381 + 1 + 200 = 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 71 ways as a sum of consecutive naturals, for example, 215248675 + ... + 215253725.

Almost surely, 2^{1087233811200} is an apocalyptic number.

1087233811200 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 1087233811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016243874008).

1087233811200 is an abundant number, since it is smaller than the sum of its proper divisors (2945253936816).

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

1087233811200 is a wasteful number, since it uses less digits than its factorization.

1087233811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5221 (or 5199 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1087233811200 in words is "one trillion, eighty-seven billion, two hundred thirty-three million, eight hundred eleven thousand, two hundred".