15485752800 has 1152 divisors, whose sum is σ = 68815595520. Its totient is φ = 3284582400.

The previous prime is 15485752787. The next prime is 15485752811. The reversal of 15485752800 is 825758451.

15485752800 is a `hidden beast` number, since 1 + 54 + 8 + 575 + 28 + 0 + 0 = 666.

15485752800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 212133564 + ... + 212133636.

It is an arithmetic number, because the mean of its divisors is an integer number (59735760).

Almost surely, 2^15485752800 is an apocalyptic number.

15485752800 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 15485752800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34407797760).

15485752800 is an abundant number, since it is smaller than the sum of its proper divisors (53329842720).

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

15485752800 is a wasteful number, since it uses less digits than its factorization.

15485752800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The spelling of 15485752800 in words is "fifteen billion, four hundred eighty-five million, seven hundred fifty-two thousand, eight hundred".