29820144332160 has 4096 divisors, whose sum is σ = 143185674240000. Its totient is φ = 5688657838080.

The previous prime is 29820144332149. The next prime is 29820144332161. The reversal of 29820144332160 is 6123344102892.

29820144332160 is a `hidden beast` number, since 2 + 9 + 8 + 201 + 4 + 433 + 2 + 1 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29820144332161) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 110037432825 + ... + 110037433095.

It is an arithmetic number, because the mean of its divisors is an integer number (34957440000).

Almost surely, 2^{29820144332160} is an apocalyptic number.

29820144332160 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 29820144332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71592837120000).

29820144332160 is an abundant number, since it is smaller than the sum of its proper divisors (113365529907840).

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

29820144332160 is a wasteful number, since it uses less digits than its factorization.

29820144332160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 29820144332160 in words is "twenty-nine trillion, eight hundred twenty billion, one hundred forty-four million, three hundred thirty-two thousand, one hundred sixty".