1152760248864 has 96 divisors (see below), whose sum is σ = 3842534183040. Its totient is φ = 329360069376.

The previous prime is 1152760248863. The next prime is 1152760248881. The reversal of 1152760248864 is 4688420672511.

1152760248864 is a `hidden beast` number, since 1 + 1 + 5 + 27 + 602 + 4 + 8 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1152760248864.

It is not an unprimeable number, because it can be changed into a prime (1152760248863) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 95294899 + ... + 95306994.

It is an arithmetic number, because the mean of its divisors is an integer number (40026397740).

Almost surely, 2^{1152760248864} is an apocalyptic number.

1152760248864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1152760248864 is an abundant number, since it is smaller than the sum of its proper divisors (2689773934176).

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

1152760248864 is a wasteful number, since it uses less digits than its factorization.

1152760248864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190601919 (or 190601905 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 1152760248864 in words is "one trillion, one hundred fifty-two billion, seven hundred sixty million, two hundred forty-eight thousand, eight hundred sixty-four".