1152118598400 has 1728 divisors, whose sum is σ = 5337175065600. Its totient is φ = 239177318400.

The previous prime is 1152118598347. The next prime is 1152118598413. The reversal of 1152118598400 is 48958112511.

1152118598400 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 1 + 18 + 598 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1077753066 + ... + 1077754134.

Almost surely, 2^{1152118598400} is an apocalyptic number.

1152118598400 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 1152118598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668587532800).

1152118598400 is an abundant number, since it is smaller than the sum of its proper divisors (4185056467200).

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

1152118598400 is an equidigital number, since it uses as much as digits as its factorization.

1152118598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 45.

The spelling of 1152118598400 in words is "one trillion, one hundred fifty-two billion, one hundred eighteen million, five hundred ninety-eight thousand, four hundred".