1153329226560 has 1792 divisors, whose sum is σ = 5306972774400. Its totient is φ = 229419122688.

The previous prime is 1153329226531. The next prime is 1153329226583. The reversal of 1153329226560 is 656229233511.

1153329226560 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 329 + 2 + 265 + 60 = 666.

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

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 255 ways as a sum of consecutive naturals, for example, 840006034 + ... + 840007406.

Almost surely, 2^{1153329226560} is an apocalyptic number.

1153329226560 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 1153329226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653486387200).

1153329226560 is an abundant number, since it is smaller than the sum of its proper divisors (4153643547840).

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

1153329226560 is a wasteful number, since it uses less digits than its factorization.

1153329226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 1153329226560 in words is "one trillion, one hundred fifty-three billion, three hundred twenty-nine million, two hundred twenty-six thousand, five hundred sixty".