15982457753920 has 112 divisors (see below), whose sum is σ = 46053653587200. Its totient is φ = 5157364506624.

The previous prime is 15982457753891. The next prime is 15982457753921. The reversal of 15982457753920 is 2935775428951.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15982457753921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209815620 + ... + 209891779.

It is an arithmetic number, because the mean of its divisors is an integer number (411193335600).

Almost surely, 2^{15982457753920} is an apocalyptic number.

15982457753920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15982457753920 is an abundant number, since it is smaller than the sum of its proper divisors (30071195833280).

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

15982457753920 is a wasteful number, since it uses less digits than its factorization.

15982457753920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419707440 (or 419707430 counting only the distinct ones).

The product of its (nonzero) digits is 190512000, while the sum is 67.

The spelling of 15982457753920 in words is "fifteen trillion, nine hundred eighty-two billion, four hundred fifty-seven million, seven hundred fifty-three thousand, nine hundred twenty".