29609989700 has 72 divisors (see below), whose sum is σ = 68183964072. Its totient is φ = 11122606080.

The previous prime is 29609989679. The next prime is 29609989771. The reversal of 29609989700 is 798990692.

It can be written as a sum of positive squares in 12 ways, for example, as 622203136 + 28987786564 = 24944^2 + 170258^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 29609989700.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 757844 + ... + 795956.

It is an arithmetic number, because the mean of its divisors is an integer number (946999501).

Almost surely, 2^29609989700 is an apocalyptic number.

29609989700 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 29609989700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34091982036).

29609989700 is an abundant number, since it is smaller than the sum of its proper divisors (38573974372).

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

29609989700 is a wasteful number, since it uses less digits than its factorization.

29609989700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38601 (or 38594 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 59.

The spelling of 29609989700 in words is "twenty-nine billion, six hundred nine million, nine hundred eighty-nine thousand, seven hundred".