29189954640 has 960 divisors, whose sum is σ = 123112120320. Its totient is φ = 5644800000.

The previous prime is 29189954639. The next prime is 29189954653. The reversal of 29189954640 is 4645998192.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 116294515 + ... + 116294765.

It is an arithmetic number, because the mean of its divisors is an integer number (128241792).

Almost surely, 2^29189954640 is an apocalyptic number.

29189954640 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 29189954640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61556060160).

29189954640 is an abundant number, since it is smaller than the sum of its proper divisors (93922165680).

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

29189954640 is a wasteful number, since it uses less digits than its factorization.

29189954640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 29189954640 in words is "twenty-nine billion, one hundred eighty-nine million, nine hundred fifty-four thousand, six hundred forty".