1152307827360 has 1152 divisors, whose sum is σ = 4448708199936. Its totient is φ = 280868290560.

The previous prime is 1152307827323. The next prime is 1152307827361. The reversal of 1152307827360 is 637287032511.

1152307827360 is a `hidden beast` number, since 1 + 1 + 523 + 0 + 78 + 27 + 36 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1152307827361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1943183224 + ... + 1943183816.

It is an arithmetic number, because the mean of its divisors is an integer number (3861725868).

Almost surely, 2^{1152307827360} is an apocalyptic number.

1152307827360 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 1152307827360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224354099968).

1152307827360 is an abundant number, since it is smaller than the sum of its proper divisors (3296400372576).

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

1152307827360 is a wasteful number, since it uses less digits than its factorization.

1152307827360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 1152307827360 in words is "one trillion, one hundred fifty-two billion, three hundred seven million, eight hundred twenty-seven thousand, three hundred sixty".