29542111872 has 512 divisors, whose sum is σ = 100870264320. Its totient is φ = 7453016064.

The previous prime is 29542111853. The next prime is 29542111883. The reversal of 29542111872 is 27811124592.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (80640) is a multiple of the sum of its prime divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94383588 + ... + 94383900.

It is an arithmetic number, because the mean of its divisors is an integer number (197012235).

Almost surely, 2^29542111872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29542111872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50435132160).

29542111872 is an abundant number, since it is smaller than the sum of its proper divisors (71328152448).

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

29542111872 is a wasteful number, since it uses less digits than its factorization.

29542111872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 448 counting only the distinct ones).

The product of its digits is 80640, while the sum is 42.

The spelling of 29542111872 in words is "twenty-nine billion, five hundred forty-two million, one hundred eleven thousand, eight hundred seventy-two".