1198815520032 has 576 divisors, whose sum is σ = 3927150864000. Its totient is φ = 353657622528.

The previous prime is 1198815519989. The next prime is 1198815520043. The reversal of 1198815520032 is 2300255188911.

1198815520032 is a `hidden beast` number, since 1 + 1 + 9 + 88 + 15 + 520 + 0 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1198815520032.

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 95 ways as a sum of consecutive naturals, for example, 1690853694 + ... + 1690854402.

It is an arithmetic number, because the mean of its divisors is an integer number (6817970250).

Almost surely, 2^{1198815520032} is an apocalyptic number.

1198815520032 is a gapful number since it is divisible by the number (12) 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 1198815520032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963575432000).

1198815520032 is an abundant number, since it is smaller than the sum of its proper divisors (2728335343968).

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

1198815520032 is a wasteful number, since it uses less digits than its factorization.

1198815520032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 1198815520032 in words is "one trillion, one hundred ninety-eight billion, eight hundred fifteen million, five hundred twenty thousand, thirty-two".