1152565376256 has 576 divisors, whose sum is σ = 4079712806400. Its totient is φ = 317917716480.

The previous prime is 1152565376203. The next prime is 1152565376293. The reversal of 1152565376256 is 6526735652511.

1152565376256 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 5 + 6 + 5 + 3 + 7 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113648946 + ... + 113659086.

Almost surely, 2^{1152565376256} is an apocalyptic number.

1152565376256 is a gapful number since it is divisible by the number (16) 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 1152565376256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039856403200).

1152565376256 is an abundant number, since it is smaller than the sum of its proper divisors (2927147430144).

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

1152565376256 is an frugal number, since it uses more digits than its factorization.

1152565376256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10214 (or 10182 counting only the distinct ones).

The product of its digits is 11340000, while the sum is 54.

The spelling of 1152565376256 in words is "one trillion, one hundred fifty-two billion, five hundred sixty-five million, three hundred seventy-six thousand, two hundred fifty-six".