15538328064 has 640 divisors, whose sum is σ = 55978560000. Its totient is φ = 4248502272.

The previous prime is 15538328009. The next prime is 15538328089. The reversal of 15538328064 is 46082383551.

15538328064 is a `hidden beast` number, since 1 + 5 + 538 + 32 + 80 + 6 + 4 = 666.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137507272 + ... + 137507384.

It is an arithmetic number, because the mean of its divisors is an integer number (87466500).

Almost surely, 2^15538328064 is an apocalyptic number.

15538328064 is a gapful number since it is divisible by the number (14) 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 15538328064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27989280000).

15538328064 is an abundant number, since it is smaller than the sum of its proper divisors (40440231936).

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

15538328064 is an equidigital number, since it uses as much as digits as its factorization.

15538328064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 15538328064 in words is "fifteen billion, five hundred thirty-eight million, three hundred twenty-eight thousand, sixty-four".