29010116900 has 18 divisors (see below), whose sum is σ = 62951953890. Its totient is φ = 11604046720.

The previous prime is 29010116897. The next prime is 29010116917. The reversal of 29010116900 is 961101092.

It can be written as a sum of positive squares in 3 ways, for example, as 534904384 + 28475212516 = 23128^2 + 168746^2 .

It is a super-2 number, since 2×29010116900² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 145050485 + ... + 145050684.

Almost surely, 2^29010116900 is an apocalyptic number.

29010116900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29010116900 is an abundant number, since it is smaller than the sum of its proper divisors (33941836990).

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

29010116900 is a wasteful number, since it uses less digits than its factorization.

29010116900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290101183 (or 290101176 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 29.

Adding to 29010116900 its reverse (961101092), we get a palindrome (29971217992).

The spelling of 29010116900 in words is "twenty-nine billion, ten million, one hundred sixteen thousand, nine hundred".