1186087478400 has 2304 divisors, whose sum is σ = 5114244096000. Its totient is φ = 258711552000.

The previous prime is 1186087478291. The next prime is 1186087478483. The reversal of 1186087478400 is 48747806811.

1186087478400 is a `hidden beast` number, since 11 + 86 + 0 + 87 + 4 + 78 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13326825556 + ... + 13326825644.

It is an arithmetic number, because the mean of its divisors is an integer number (2219724000).

Almost surely, 2^{1186087478400} is an apocalyptic number.

1186087478400 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 1186087478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557122048000).

1186087478400 is an abundant number, since it is smaller than the sum of its proper divisors (3928156617600).

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

1186087478400 is a wasteful number, since it uses less digits than its factorization.

1186087478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 1186087478400 in words is "one trillion, one hundred eighty-six billion, eighty-seven million, four hundred seventy-eight thousand, four hundred".