1159306948800 has 5376 divisors, whose sum is σ = 6400390348800. Its totient is φ = 195880550400.

The previous prime is 1159306948687. The next prime is 1159306948841. The reversal of 1159306948800 is 88496039511.

1159306948800 is a `hidden beast` number, since 1 + 1 + 593 + 0 + 6 + 9 + 48 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 13967553559 + ... + 13967553641.

It is an arithmetic number, because the mean of its divisors is an integer number (1190548800).

Almost surely, 2^{1159306948800} is an apocalyptic number.

1159306948800 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 1159306948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200195174400).

1159306948800 is an abundant number, since it is smaller than the sum of its proper divisors (5241083400000).

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

1159306948800 is a wasteful number, since it uses less digits than its factorization.

1159306948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

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

The spelling of 1159306948800 in words is "one trillion, one hundred fifty-nine billion, three hundred six million, nine hundred forty-eight thousand, eight hundred".