15478848000 has 960 divisors, whose sum is σ = 69708038400. Its totient is φ = 3207168000.

The previous prime is 15478847963. The next prime is 15478848019. The reversal of 15478848000 is 84887451.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 44351826 + ... + 44352174.

It is an arithmetic number, because the mean of its divisors is an integer number (72612540).

Almost surely, 2^15478848000 is an apocalyptic number.

15478848000 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 15478848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34854019200).

15478848000 is an abundant number, since it is smaller than the sum of its proper divisors (54229190400).

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

15478848000 is a wasteful number, since it uses less digits than its factorization.

15478848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 15478848000 in words is "fifteen billion, four hundred seventy-eight million, eight hundred forty-eight thousand".