15483890288080 has 80 divisors (see below), whose sum is σ = 36683331379920. Its totient is φ = 6076027203584.

The previous prime is 15483890288059. The next prime is 15483890288081. The reversal of 15483890288080 is 8088209838451.

It can be written as a sum of positive squares in 8 ways, for example, as 471024161344 + 15012866126736 = 686312^2 + 3874644^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15483890288081) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 39205836 + ... + 39598804.

It is an arithmetic number, because the mean of its divisors is an integer number (458541642249).

Almost surely, 2^{15483890288080} is an apocalyptic number.

15483890288080 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 15483890288080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18341665689960).

15483890288080 is an abundant number, since it is smaller than the sum of its proper divisors (21199441091840).

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

15483890288080 is a wasteful number, since it uses less digits than its factorization.

15483890288080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402328 (or 402322 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 64.

The spelling of 15483890288080 in words is "fifteen trillion, four hundred eighty-three billion, eight hundred ninety million, two hundred eighty-eight thousand, eighty".