15104801441680 has 80 divisors (see below), whose sum is σ = 35356813470000. Its totient is φ = 6000954152960.

The previous prime is 15104801441647. The next prime is 15104801441689. The reversal of 15104801441680 is 8614410840151.

15104801441680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5299185584016 + 9805615857664 = 2301996^2 + 3131392^2 .

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

It is not an unprimeable number, because it can be changed into a prime (15104801441689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216301170 + ... + 216370990.

It is an arithmetic number, because the mean of its divisors is an integer number (441960168375).

Almost surely, 2^{15104801441680} is an apocalyptic number.

15104801441680 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 15104801441680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17678406735000).

15104801441680 is an abundant number, since it is smaller than the sum of its proper divisors (20252012028320).

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

15104801441680 is a wasteful number, since it uses less digits than its factorization.

15104801441680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88132 (or 88126 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 43.

The spelling of 15104801441680 in words is "fifteen trillion, one hundred four billion, eight hundred one million, four hundred forty-one thousand, six hundred eighty".