29500649102500 has 135 divisors (see below), whose sum is σ = 67453122593703. Its totient is φ = 11284815036000.

The previous prime is 29500649102479. The next prime is 29500649102501. The reversal of 29500649102500 is 520194600592.

The square root of 29500649102500 is 5431450.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 2312850889636 + 27187798212864 = 1520806^2 + 5214192^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29500649102501) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6246165139 + ... + 6246169861.

Almost surely, 2^{29500649102500} is an apocalyptic number.

29500649102500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29500649102500 is the 5431450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29500649102500

29500649102500 is an abundant number, since it is smaller than the sum of its proper divisors (37952473491203).

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

29500649102500 is an frugal number, since it uses more digits than its factorization.

29500649102500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9516 (or 4753 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The spelling of 29500649102500 in words is "twenty-nine trillion, five hundred billion, six hundred forty-nine million, one hundred two thousand, five hundred".