29090042880 has 352 divisors, whose sum is σ = 96841113600. Its totient is φ = 7445053440.

The previous prime is 29090042837. The next prime is 29090042887. The reversal of 29090042880 is 8824009092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29090042887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94755687 + ... + 94755993.

It is an arithmetic number, because the mean of its divisors is an integer number (275116800).

Almost surely, 2^29090042880 is an apocalyptic number.

29090042880 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 29090042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48420556800).

29090042880 is an abundant number, since it is smaller than the sum of its proper divisors (67751070720).

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

29090042880 is a wasteful number, since it uses less digits than its factorization.

29090042880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 29090042880 in words is "twenty-nine billion, ninety million, forty-two thousand, eight hundred eighty".