1086875913600 has 288 divisors, whose sum is σ = 3883170367440. Its totient is φ = 289463808000.

The previous prime is 1086875913583. The next prime is 1086875913619. The reversal of 1086875913600 is 63195786801.

1086875913600 is a `hidden beast` number, since 10 + 8 + 6 + 8 + 7 + 5 + 9 + 13 + 600 = 666.

1086875913600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 22929925 + ... + 22977275.

Almost surely, 2^{1086875913600} is an apocalyptic number.

1086875913600 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 1086875913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941585183720).

1086875913600 is an abundant number, since it is smaller than the sum of its proper divisors (2796294453840).

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

1086875913600 is a wasteful number, since it uses less digits than its factorization.

1086875913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48178 (or 48158 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1086875913600 in words is "one trillion, eighty-six billion, eight hundred seventy-five million, nine hundred thirteen thousand, six hundred".