1087043047200 has 576 divisors, whose sum is σ = 4293640189440. Its totient is φ = 263233152000.

The previous prime is 1087043047187. The next prime is 1087043047217. The reversal of 1087043047200 is 27403407801.

It is a happy number.

1087043047200 is a `hidden beast` number, since 10 + 8 + 7 + 0 + 430 + 4 + 7 + 200 = 666.

It is a super-2 number, since 2×1087043047200² (a number of 25 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 278227647 + ... + 278231553.

It is an arithmetic number, because the mean of its divisors is an integer number (7454236440).

Almost surely, 2^{1087043047200} is an apocalyptic number.

1087043047200 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 1087043047200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146820094720).

1087043047200 is an abundant number, since it is smaller than the sum of its proper divisors (3206597142240).

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

1087043047200 is a wasteful number, since it uses less digits than its factorization.

1087043047200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5118 (or 5099 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 1087043047200 in words is "one trillion, eighty-seven billion, forty-three million, forty-seven thousand, two hundred".