15820142880 has 96 divisors (see below), whose sum is σ = 52764856704. Its totient is φ = 3970543616.

The previous prime is 15820142879. The next prime is 15820142917. The reversal of 15820142880 is 8824102851.

15820142880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×15820142880² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 961212 + ... + 977531.

It is an arithmetic number, because the mean of its divisors is an integer number (549633924).

Almost surely, 2^15820142880 is an apocalyptic number.

15820142880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15820142880 is an abundant number, since it is smaller than the sum of its proper divisors (36944713824).

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

15820142880 is a wasteful number, since it uses less digits than its factorization.

15820142880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938778 (or 1938770 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The spelling of 15820142880 in words is "fifteen billion, eight hundred twenty million, one hundred forty-two thousand, eight hundred eighty".