29985481943760 has 160 divisors (see below), whose sum is σ = 107265680271360. Its totient is φ = 6787282420224.

The previous prime is 29985481943639. The next prime is 29985481943779. The reversal of 29985481943760 is 6734918458992.

29985481943760 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86470170 + ... + 86816249.

It is an arithmetic number, because the mean of its divisors is an integer number (670410501696).

It is a 1-persistent number, because it is pandigital, but 2⋅29985481943760 = 59970963887520 is not.

Almost surely, 2^{29985481943760} is an apocalyptic number.

29985481943760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29985481943760 is an abundant number, since it is smaller than the sum of its proper divisors (77280198327600).

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

29985481943760 is a wasteful number, since it uses less digits than its factorization.

29985481943760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173286545 (or 173286539 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 75.

The spelling of 29985481943760 in words is "twenty-nine trillion, nine hundred eighty-five billion, four hundred eighty-one million, nine hundred forty-three thousand, seven hundred sixty".