29872955927892 has 192 divisors, whose sum is σ = 90144792944640. Its totient is φ = 7471234713600.

The previous prime is 29872955927891. The next prime is 29872955927911.

29872955927892 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29872955927891) 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, 8315292 + ... + 11352972.

It is an arithmetic number, because the mean of its divisors is an integer number (469504129920).

Almost surely, 2^{29872955927892} is an apocalyptic number.

29872955927892 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29872955927892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45072396472320).

29872955927892 is an abundant number, since it is smaller than the sum of its proper divisors (60271837016748).

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

29872955927892 is a wasteful number, since it uses less digits than its factorization.

29872955927892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038102 (or 3038100 counting only the distinct ones).

The product of its digits is 8230118400, while the sum is 84.

The spelling of 29872955927892 in words is "twenty-nine trillion, eight hundred seventy-two billion, nine hundred fifty-five million, nine hundred twenty-seven thousand, eight hundred ninety-two".