29074827720 has 128 divisors (see below), whose sum is σ = 88748784000. Its totient is φ = 7618068480.

The previous prime is 29074827713. The next prime is 29074827757. The reversal of 29074827720 is 2772847092.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 29074827720.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10312471 + ... + 10315289.

It is an arithmetic number, because the mean of its divisors is an integer number (693349875).

Almost surely, 2^29074827720 is an apocalyptic number.

29074827720 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 29074827720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44374392000).

29074827720 is an abundant number, since it is smaller than the sum of its proper divisors (59673956280).

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

29074827720 is a wasteful number, since it uses less digits than its factorization.

29074827720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4303 (or 4299 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 29074827720 in words is "twenty-nine billion, seventy-four million, eight hundred twenty-seven thousand, seven hundred twenty".