1087080346800 has 2160 divisors, whose sum is σ = 4780533401280. Its totient is φ = 227598336000.

The previous prime is 1087080346799. The next prime is 1087080346817. The reversal of 1087080346800 is 86430807801.

1087080346800 is a `hidden beast` number, since 108 + 7 + 0 + 80 + 3 + 468 + 0 + 0 = 666.

1087080346800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 14891511564 + ... + 14891511636.

It is an arithmetic number, because the mean of its divisors is an integer number (2213209908).

Almost surely, 2^{1087080346800} is an apocalyptic number.

1087080346800 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 1087080346800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2390266700640).

1087080346800 is an abundant number, since it is smaller than the sum of its proper divisors (3693453054480).

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

1087080346800 is a wasteful number, since it uses less digits than its factorization.

1087080346800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 1087080346800 in words is "one trillion, eighty-seven billion, eighty million, three hundred forty-six thousand, eight hundred".