1188096000 has 768 divisors, whose sum is σ = 5151444480. Its totient is φ = 235929600.

The previous prime is 1188095999. The next prime is 1188096031. The reversal of 1188096000 is 6908811.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69887992 + ... + 69888008.

It is an arithmetic number, because the mean of its divisors is an integer number (6707610).

Almost surely, 2^1188096000 is an apocalyptic number.

1188096000 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 1188096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575722240).

1188096000 is an abundant number, since it is smaller than the sum of its proper divisors (3963348480).

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

1188096000 is a wasteful number, since it uses less digits than its factorization.

1188096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 1188096000 is about 34468.7684723432. The cubic root of 1188096000 is about 1059.1330278968.

It can be divided in two parts, 11880 and 96000, that added together give a triangular number (107880 = T₄₆₄).

The spelling of 1188096000 in words is "one billion, one hundred eighty-eight million, ninety-six thousand".