15830225280 has 192 divisors, whose sum is σ = 56688886800. Its totient is φ = 4221351936.

The previous prime is 15830225267. The next prime is 15830225297. The reversal of 15830225280 is 8252203851.

15830225280 is a `hidden beast` number, since 1 + 58 + 302 + 25 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104626 + ... + 206414.

Almost surely, 2^15830225280 is an apocalyptic number.

15830225280 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 15830225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28344443400).

15830225280 is an abundant number, since it is smaller than the sum of its proper divisors (40858661520).

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

15830225280 is an equidigital number, since it uses as much as digits as its factorization.

15830225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101823 (or 101799 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 15830225280 in words is "fifteen billion, eight hundred thirty million, two hundred twenty-five thousand, two hundred eighty".