29922860160000 has 880 divisors, whose sum is σ = 115551984028800. Its totient is φ = 7632396288000.

The previous prime is 29922860159989. The next prime is 29922860160041. The reversal of 29922860160000 is 6106822992.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 397402356 + ... + 397477644.

It is an arithmetic number, because the mean of its divisors is an integer number (131309072760).

Almost surely, 2^{29922860160000} is an apocalyptic number.

29922860160000 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 29922860160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57775992014400).

29922860160000 is an abundant number, since it is smaller than the sum of its proper divisors (85629123868800).

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

29922860160000 is an equidigital number, since it uses as much as digits as its factorization.

29922860160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75361 (or 75322 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

Adding to 29922860160000 its reverse (6106822992), we get a palindrome (29928966982992).

The spelling of 29922860160000 in words is "twenty-nine trillion, nine hundred twenty-two billion, eight hundred sixty million, one hundred sixty thousand".