15225894000 has 480 divisors, whose sum is σ = 56167625280. Its totient is φ = 3991420800.

The previous prime is 15225893987. The next prime is 15225894011. The reversal of 15225894000 is 49852251.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

15225894000 is a `hidden beast` number, since 15 + 22 + 589 + 40 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 258065971 + ... + 258066029.

It is an arithmetic number, because the mean of its divisors is an integer number (117015886).

Almost surely, 2^15225894000 is an apocalyptic number.

15225894000 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 15225894000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28083812640).

15225894000 is an abundant number, since it is smaller than the sum of its proper divisors (40941731280).

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

15225894000 is an frugal number, since it uses more digits than its factorization.

15225894000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 15225894000 in words is "fifteen billion, two hundred twenty-five million, eight hundred ninety-four thousand".