29164027200 has 672 divisors, whose sum is σ = 125601008640. Its totient is φ = 5739724800.

The previous prime is 29164027183. The next prime is 29164027223. The reversal of 29164027200 is 272046192.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7020324 + ... + 7024476.

Almost surely, 2^29164027200 is an apocalyptic number.

29164027200 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 29164027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62800504320).

29164027200 is an abundant number, since it is smaller than the sum of its proper divisors (96436981440).

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

29164027200 is a wasteful number, since it uses less digits than its factorization.

29164027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4215 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 29164027200 in words is "twenty-nine billion, one hundred sixty-four million, twenty-seven thousand, two hundred".