1188165278400 has 672 divisors, whose sum is σ = 4225665879360. Its totient is φ = 291168583680.

The previous prime is 1188165278393. The next prime is 1188165278411. The reversal of 1188165278400 is 48725618811.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1111473066 + ... + 1111474134.

Almost surely, 2^{1188165278400} is an apocalyptic number.

1188165278400 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 1188165278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112832939680).

1188165278400 is an abundant number, since it is smaller than the sum of its proper divisors (3037500600960).

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

1188165278400 is a wasteful number, since it uses less digits than its factorization.

1188165278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 51.

The spelling of 1188165278400 in words is "one trillion, one hundred eighty-eight billion, one hundred sixty-five million, two hundred seventy-eight thousand, four hundred".