29390929920000 has 1680 divisors, whose sum is σ = 119499354965760. Its totient is φ = 7077888000000.

The previous prime is 29390929919933. The next prime is 29390929920041. The reversal of 29390929920000 is 2992909392.

29390929920000 is a `hidden beast` number, since 29 + 390 + 9 + 29 + 9 + 200 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 194641919925 + ... + 194641920075.

It is an arithmetic number, because the mean of its divisors is an integer number (71130568432).

Almost surely, 2^{29390929920000} is an apocalyptic number.

29390929920000 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 29390929920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59749677482880).

29390929920000 is an abundant number, since it is smaller than the sum of its proper divisors (90108425045760).

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

29390929920000 is an frugal number, since it uses more digits than its factorization.

29390929920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 54.

The spelling of 29390929920000 in words is "twenty-nine trillion, three hundred ninety billion, nine hundred twenty-nine million, nine hundred twenty thousand".