11582881824 has 48 divisors (see below), whose sum is σ = 30689251488. Its totient is φ = 3824873472.

The previous prime is 11582881801. The next prime is 11582881831. The reversal of 11582881824 is 42818828511.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×11582881824³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 553537 + ... + 574080.

It is an arithmetic number, because the mean of its divisors is an integer number (639359406).

Almost surely, 2^11582881824 is an apocalyptic number.

It is an amenable number.

11582881824 is an abundant number, since it is smaller than the sum of its proper divisors (19106369664).

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

11582881824 is a wasteful number, since it uses less digits than its factorization.

11582881824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127737 (or 1127729 counting only the distinct ones).

The product of its digits is 327680, while the sum is 48.

The spelling of 11582881824 in words is "eleven billion, five hundred eighty-two million, eight hundred eighty-one thousand, eight hundred twenty-four".