11459764875552 has 96 divisors (see below), whose sum is σ = 35027960671872. Its totient is φ = 3212440817664.

The previous prime is 11459764875547. The next prime is 11459764875569. The reversal of 11459764875552 is 25557846795411.

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

It is a super-2 number, since 2×11459764875552² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160843833 + ... + 160915064.

It is an arithmetic number, because the mean of its divisors is an integer number (364874590332).

Almost surely, 2^{11459764875552} is an apocalyptic number.

11459764875552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11459764875552 is an abundant number, since it is smaller than the sum of its proper divisors (23568195796320).

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

11459764875552 is a wasteful number, since it uses less digits than its factorization.

11459764875552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321758970 (or 321758962 counting only the distinct ones).

The product of its digits is 423360000, while the sum is 69.

The spelling of 11459764875552 in words is "eleven trillion, four hundred fifty-nine billion, seven hundred sixty-four million, eight hundred seventy-five thousand, five hundred fifty-two".