21120035929542 has 128 divisors (see below), whose sum is σ = 52293259929600. Its totient is φ = 6263384140800.

The previous prime is 21120035929511. The next prime is 21120035929549. The reversal of 21120035929542 is 24592953002112.

21120035929542 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 0 + 0 + 3 + 592 + 9 + 54 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21120035929549) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 722754492 + ... + 722783712.

It is an arithmetic number, because the mean of its divisors is an integer number (408541093200).

Almost surely, 2^{21120035929542} is an apocalyptic number.

21120035929542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21120035929542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26146629964800).

21120035929542 is an abundant number, since it is smaller than the sum of its proper divisors (31173224000058).

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

21120035929542 is a wasteful number, since it uses less digits than its factorization.

21120035929542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55179 (or 55173 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 21120035929542 in words is "twenty-one trillion, one hundred twenty billion, thirty-five million, nine hundred twenty-nine thousand, five hundred forty-two".