29116446720 has 384 divisors, whose sum is σ = 99632332800. Its totient is φ = 7233601536.

The previous prime is 29116446713. The next prime is 29116446763. The reversal of 29116446720 is 2764461192.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66324261 + ... + 66324699.

It is an arithmetic number, because the mean of its divisors is an integer number (259459200).

Almost surely, 2^29116446720 is an apocalyptic number.

29116446720 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 29116446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49816166400).

29116446720 is an abundant number, since it is smaller than the sum of its proper divisors (70515886080).

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

29116446720 is a wasteful number, since it uses less digits than its factorization.

29116446720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 29116446720 in words is "twenty-nine billion, one hundred sixteen million, four hundred forty-six thousand, seven hundred twenty".