29080466100 has 504 divisors, whose sum is σ = 110431473600. Its totient is φ = 6641248320.

The previous prime is 29080466089. The next prime is 29080466111. The reversal of 29080466100 is 166408092.

29080466100 is a `hidden beast` number, since 2 + 90 + 8 + 0 + 466 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (29080466089) and next prime (29080466111).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 25004119 + ... + 25005281.

Almost surely, 2^29080466100 is an apocalyptic number.

29080466100 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 29080466100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55215736800).

29080466100 is an abundant number, since it is smaller than the sum of its proper divisors (81351007500).

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

29080466100 is a wasteful number, since it uses less digits than its factorization.

29080466100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 29080466100 in words is "twenty-nine billion, eighty million, four hundred sixty-six thousand, one hundred".