29038823120 has 20 divisors (see below), whose sum is σ = 67515263940. Its totient is φ = 11615529216.

The previous prime is 29038823117. The next prime is 29038823123. The reversal of 29038823120 is 2132883092.

It is an interprime number because it is at equal distance from previous prime (29038823117) and next prime (29038823123).

It can be written as a sum of positive squares in 2 ways, for example, as 18290939536 + 10747883584 = 135244^2 + 103672^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29038823123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 181492565 + ... + 181492724.

It is an arithmetic number, because the mean of its divisors is an integer number (3375763197).

Almost surely, 2^29038823120 is an apocalyptic number.

29038823120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29038823120 is an abundant number, since it is smaller than the sum of its proper divisors (38476440820).

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

29038823120 is a wasteful number, since it uses less digits than its factorization.

29038823120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362985302 (or 362985296 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 29038823120 in words is "twenty-nine billion, thirty-eight million, eight hundred twenty-three thousand, one hundred twenty".