29008872889920 has 5376 divisors, whose sum is σ = 143787571200000. Its totient is φ = 5293287014400.

The previous prime is 29008872889907. The next prime is 29008872889921. The reversal of 29008872889920 is 2998827880092.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (29008872889921) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 194690422006 + ... + 194690422154.

It is an arithmetic number, because the mean of its divisors is an integer number (26746200000).

Almost surely, 2^{29008872889920} is an apocalyptic number.

29008872889920 is a gapful number since it is divisible by the number (20) 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 29008872889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71893785600000).

29008872889920 is an abundant number, since it is smaller than the sum of its proper divisors (114778698310080).

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

29008872889920 is a wasteful number, since it uses less digits than its factorization.

29008872889920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 72.

The spelling of 29008872889920 in words is "twenty-nine trillion, eight billion, eight hundred seventy-two million, eight hundred eighty-nine thousand, nine hundred twenty".