29845588542 has 128 divisors (see below), whose sum is σ = 75694694400. Its totient is φ = 7620009600.

The previous prime is 29845588537. The next prime is 29845588543. The reversal of 29845588542 is 24588554892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29845588543) 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, 12758809 + ... + 12761147.

It is an arithmetic number, because the mean of its divisors is an integer number (591364800).

Almost surely, 2^29845588542 is an apocalyptic number.

29845588542 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 29845588542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37847347200).

29845588542 is an abundant number, since it is smaller than the sum of its proper divisors (45849105858).

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

29845588542 is a wasteful number, since it uses less digits than its factorization.

29845588542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822.

The product of its digits is 36864000, while the sum is 60.

The spelling of 29845588542 in words is "twenty-nine billion, eight hundred forty-five million, five hundred eighty-eight thousand, five hundred forty-two".