29313285021200 has 240 divisors, whose sum is σ = 78547945734720. Its totient is φ = 10447377039360.

The previous prime is 29313285021193. The next prime is 29313285021227. The reversal of 29313285021200 is 212058231392.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184288904 + ... + 184447896.

It is an arithmetic number, because the mean of its divisors is an integer number (327283107228).

Almost surely, 2^{29313285021200} is an apocalyptic number.

29313285021200 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 29313285021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39273972867360).

29313285021200 is an abundant number, since it is smaller than the sum of its proper divisors (49234660713520).

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

29313285021200 is a wasteful number, since it uses less digits than its factorization.

29313285021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160474 (or 160463 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 29313285021200 in words is "twenty-nine trillion, three hundred thirteen billion, two hundred eighty-five million, twenty-one thousand, two hundred".