123581306880 has 384 divisors, whose sum is σ = 465151377600. Its totient is φ = 31015305216.

The previous prime is 123581306879. The next prime is 123581306917. The reversal of 123581306880 is 88603185321.

123581306880 is a `hidden beast` number, since 1 + 2 + 3 + 581 + 3 + 0 + 68 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4687014 + ... + 4713306.

Almost surely, 2^123581306880 is an apocalyptic number.

123581306880 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 123581306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232575688800).

123581306880 is an abundant number, since it is smaller than the sum of its proper divisors (341570070720).

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

123581306880 is a wasteful number, since it uses less digits than its factorization.

123581306880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26346 (or 26320 counting only the distinct ones).

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

The spelling of 123581306880 in words is "one hundred twenty-three billion, five hundred eighty-one million, three hundred six thousand, eight hundred eighty".