15484328064000 has 440 divisors, whose sum is σ = 57706598763528. Its totient is φ = 4129151385600.

The previous prime is 15484328063983. The next prime is 15484328064013. The reversal of 15484328064000 is 46082348451.

15484328064000 is a `hidden beast` number, since 1 + 5 + 484 + 32 + 80 + 64 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 584233979904 + 14900094084096 = 764352^2 + 3860064^2 .

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9621264 + ... + 11114736.

Almost surely, 2^{15484328064000} is an apocalyptic number.

15484328064000 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 15484328064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28853299381764).

15484328064000 is an abundant number, since it is smaller than the sum of its proper divisors (42222270699528).

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

15484328064000 is an equidigital number, since it uses as much as digits as its factorization.

15484328064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493520 (or 1493483 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 15484328064000 in words is "fifteen trillion, four hundred eighty-four billion, three hundred twenty-eight million, sixty-four thousand".