1185078988800 has 780 divisors, whose sum is σ = 5017178317536. Its totient is φ = 270861926400.

The previous prime is 1185078988777. The next prime is 1185078988817. The reversal of 1185078988800 is 88898705811.

1185078988800 is a `hidden beast` number, since 118 + 507 + 8 + 9 + 8 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 58050595 + ... + 58071005.

Almost surely, 2^{1185078988800} is an apocalyptic number.

1185078988800 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 1185078988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508589158768).

1185078988800 is an abundant number, since it is smaller than the sum of its proper divisors (3832099328736).

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

1185078988800 is an equidigital number, since it uses as much as digits as its factorization.

1185078988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20464 (or 20428 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 63.

The spelling of 1185078988800 in words is "one trillion, one hundred eighty-five billion, seventy-eight million, nine hundred eighty-eight thousand, eight hundred".