29906837172 has 168 divisors, whose sum is σ = 83663685000. Its totient is φ = 9317265408.

The previous prime is 29906837123. The next prime is 29906837179. The reversal of 29906837172 is 27173860992.

It can be written as a sum of positive squares in 4 ways, for example, as 1046263716 + 28860573456 = 32346^2 + 169884^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29906837179) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7384204 + ... + 7388252.

It is an arithmetic number, because the mean of its divisors is an integer number (497998125).

Almost surely, 2^29906837172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29906837172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41831842500).

29906837172 is an abundant number, since it is smaller than the sum of its proper divisors (53756847828).

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

29906837172 is a wasteful number, since it uses less digits than its factorization.

29906837172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4237 (or 4220 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 29906837172 in words is "twenty-nine billion, nine hundred six million, eight hundred thirty-seven thousand, one hundred seventy-two".