29461866900 has 72 divisors (see below), whose sum is σ = 85412908224. Its totient is φ = 7840838400.

The previous prime is 29461866877. The next prime is 29461866937. The reversal of 29461866900 is 966816492.

It is a super-2 number, since 2×29461866900² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 53280 + ... + 248520.

It is an arithmetic number, because the mean of its divisors is an integer number (1186290392).

Almost surely, 2^29461866900 is an apocalyptic number.

29461866900 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 29461866900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42706454112).

29461866900 is an abundant number, since it is smaller than the sum of its proper divisors (55951041324).

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

29461866900 is a wasteful number, since it uses less digits than its factorization.

29461866900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195761 (or 195754 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 29461866900 in words is "twenty-nine billion, four hundred sixty-one million, eight hundred sixty-six thousand, nine hundred".