1159466918400 has 1920 divisors, whose sum is σ = 5056138053120. Its totient is φ = 257989017600.

The previous prime is 1159466918399. The next prime is 1159466918447. The reversal of 1159466918400 is 48196649511.

1159466918400 is a `hidden beast` number, since 1 + 1 + 5 + 94 + 66 + 91 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11953267152 + ... + 11953267248.

It is an arithmetic number, because the mean of its divisors is an integer number (2633405236).

Almost surely, 2^{1159466918400} is an apocalyptic number.

1159466918400 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 1159466918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528069026560).

1159466918400 is an abundant number, since it is smaller than the sum of its proper divisors (3896671134720).

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

1159466918400 is an frugal number, since it uses more digits than its factorization.

1159466918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 175 counting only the distinct ones).

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

The spelling of 1159466918400 in words is "one trillion, one hundred fifty-nine billion, four hundred sixty-six million, nine hundred eighteen thousand, four hundred".