1087993506816 has 704 divisors, whose sum is σ = 3565513728000. Its totient is φ = 326219857920.

The previous prime is 1087993506773. The next prime is 1087993506823. The reversal of 1087993506816 is 6186053997801.

1087993506816 is a `hidden beast` number, since 108 + 7 + 9 + 9 + 3 + 506 + 8 + 16 = 666.

1087993506816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1296773725 + ... + 1296774563.

Almost surely, 2^{1087993506816} is an apocalyptic number.

1087993506816 is a gapful number since it is divisible by the number (16) 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 1087993506816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782756864000).

1087993506816 is an abundant number, since it is smaller than the sum of its proper divisors (2477520221184).

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

1087993506816 is a wasteful number, since it uses less digits than its factorization.

1087993506816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 1087993506816 in words is "one trillion, eighty-seven billion, nine hundred ninety-three million, five hundred six thousand, eight hundred sixteen".