29232161497920 has 224 divisors, whose sum is σ = 97713163658880. Its totient is φ = 7383742341120.

The previous prime is 29232161497831. The next prime is 29232161497933. The reversal of 29232161497920 is 2979416123292.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112465710 + ... + 112725330.

It is an arithmetic number, because the mean of its divisors is an integer number (436219480620).

Almost surely, 2^{29232161497920} is an apocalyptic number.

29232161497920 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 29232161497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48856581829440).

29232161497920 is an abundant number, since it is smaller than the sum of its proper divisors (68481002160960).

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

29232161497920 is a wasteful number, since it uses less digits than its factorization.

29232161497920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265833 (or 265823 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 57.

The spelling of 29232161497920 in words is "twenty-nine trillion, two hundred thirty-two billion, one hundred sixty-one million, four hundred ninety-seven thousand, nine hundred twenty".