29228307264000 has 3840 divisors, whose sum is σ = 127983958502400. Its totient is φ = 6337540915200.

The previous prime is 29228307263923. The next prime is 29228307264029. The reversal of 29228307264000 is 46270382292.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 196163135926 + ... + 196163136074.

It is an arithmetic number, because the mean of its divisors is an integer number (33329155860).

Almost surely, 2^{29228307264000} is an apocalyptic number.

29228307264000 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 29228307264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63991979251200).

29228307264000 is an abundant number, since it is smaller than the sum of its proper divisors (98755651238400).

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

29228307264000 is a wasteful number, since it uses less digits than its factorization.

29228307264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 29228307264000 in words is "twenty-nine trillion, two hundred twenty-eight billion, three hundred seven million, two hundred sixty-four thousand".