15285820473000 has 4608 divisors, whose sum is σ = 73772609863680. Its totient is φ = 2872143360000.

The previous prime is 15285820472999. The next prime is 15285820473083. The reversal of 15285820473000 is 37402858251.

15285820473000 is a `hidden beast` number, since 1 + 5 + 28 + 582 + 0 + 47 + 3 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 209394800964 + ... + 209394801036.

It is an arithmetic number, because the mean of its divisors is an integer number (16009680960).

Almost surely, 2^{15285820473000} is an apocalyptic number.

15285820473000 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 15285820473000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36886304931840).

15285820473000 is an abundant number, since it is smaller than the sum of its proper divisors (58486789390680).

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

15285820473000 is a wasteful number, since it uses less digits than its factorization.

15285820473000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 15285820473000 in words is "fifteen trillion, two hundred eighty-five billion, eight hundred twenty million, four hundred seventy-three thousand".