1087678218600 has 144 divisors (see below), whose sum is σ = 3653689859820. Its totient is φ = 289975756800.

The previous prime is 1087678218581. The next prime is 1087678218617. The reversal of 1087678218600 is 68128767801.

It is a happy number.

1087678218600 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 6 + 7 + 8 + 21 + 8 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 701463201156 + 386215017444 = 837534^2 + 621462^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7409920 + ... + 7555280.

Almost surely, 2^{1087678218600} is an apocalyptic number.

1087678218600 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 1087678218600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826844929910).

1087678218600 is an abundant number, since it is smaller than the sum of its proper divisors (2566011641220).

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

1087678218600 is a wasteful number, since it uses less digits than its factorization.

1087678218600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149540 (or 149528 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 1087678218600 in words is "one trillion, eighty-seven billion, six hundred seventy-eight million, two hundred eighteen thousand, six hundred".