1159098494400 has 2268 divisors, whose sum is σ = 5407212051696. Its totient is φ = 230488473600.

The previous prime is 1159098494329. The next prime is 1159098494401. The reversal of 1159098494400 is 44948909511.

1159098494400 is a `hidden beast` number, since 1 + 1 + 590 + 9 + 8 + 4 + 9 + 4 + 40 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1159098494401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 10257508744 + ... + 10257508856.

Almost surely, 2^{1159098494400} is an apocalyptic number.

1159098494400 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 1159098494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703606025848).

1159098494400 is an abundant number, since it is smaller than the sum of its proper divisors (4248113557296).

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

1159098494400 is a wasteful number, since it uses less digits than its factorization.

1159098494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 1159098494400 in words is "one trillion, one hundred fifty-nine billion, ninety-eight million, four hundred ninety-four thousand, four hundred".