12858531840 has 896 divisors, whose sum is σ = 57374576640. Its totient is φ = 2654208000.

The previous prime is 12858531817. The next prime is 12858531857. The reversal of 12858531840 is 4813585821.

12858531840 is a `hidden beast` number, since 1 + 28 + 58 + 531 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85155765 + ... + 85155915.

Almost surely, 2^12858531840 is an apocalyptic number.

12858531840 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 12858531840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28687288320).

12858531840 is an abundant number, since it is smaller than the sum of its proper divisors (44516044800).

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

12858531840 is a wasteful number, since it uses less digits than its factorization.

12858531840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 12858531840 in words is "twelve billion, eight hundred fifty-eight million, five hundred thirty-one thousand, eight hundred forty".