1158178800 has 240 divisors, whose sum is σ = 4007600640. Its totient is φ = 285035520.

The previous prime is 1158178781. The next prime is 1158178883. The reversal of 1158178800 is 88718511.

1158178800 is digitally balanced in base 6, 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 (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 799677 + ... + 801123.

It is an arithmetic number, because the mean of its divisors is an integer number (16698336).

Almost surely, 2^1158178800 is an apocalyptic number.

1158178800 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 1158178800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003800320).

1158178800 is an abundant number, since it is smaller than the sum of its proper divisors (2849421840).

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

1158178800 is a wasteful number, since it uses less digits than its factorization.

1158178800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 39.

The square root of 1158178800 is about 34032.0260930789. The cubic root of 1158178800 is about 1050.1674109485.

The spelling of 1158178800 in words is "one billion, one hundred fifty-eight million, one hundred seventy-eight thousand, eight hundred".