15450328800 has 864 divisors, whose sum is σ = 61421068800. Its totient is φ = 3777269760.

The previous prime is 15450328799. The next prime is 15450328823. The reversal of 15450328800 is 882305451.

It is a happy number.

15450328800 is a `hidden beast` number, since 1 + 54 + 503 + 28 + 80 + 0 = 666.

15450328800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 173599156 + ... + 173599244.

It is an arithmetic number, because the mean of its divisors is an integer number (71089200).

Almost surely, 2^15450328800 is an apocalyptic number.

15450328800 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 15450328800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30710534400).

15450328800 is an abundant number, since it is smaller than the sum of its proper divisors (45970740000).

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

15450328800 is a wasteful number, since it uses less digits than its factorization.

15450328800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 165 counting only the distinct ones).

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

The spelling of 15450328800 in words is "fifteen billion, four hundred fifty million, three hundred twenty-eight thousand, eight hundred".