1152883368000 has 3360 divisors, whose sum is σ = 5655888551040. Its totient is φ = 230443315200.

The previous prime is 1152883367983. The next prime is 1152883368001. The reversal of 1152883368000 is 8633882511.

1152883368000 is a `hidden beast` number, since 1 + 1 + 5 + 288 + 3 + 368 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×1152883368000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152883368001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 60678071991 + ... + 60678072009.

It is an arithmetic number, because the mean of its divisors is an integer number (1683300164).

Almost surely, 2^{1152883368000} is an apocalyptic number.

1152883368000 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 1152883368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827944275520).

1152883368000 is an abundant number, since it is smaller than the sum of its proper divisors (4503005183040).

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

1152883368000 is an frugal number, since it uses more digits than its factorization.

1152883368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1152883368000 in words is "one trillion, one hundred fifty-two billion, eight hundred eighty-three million, three hundred sixty-eight thousand".