29106997920 has 1536 divisors, whose sum is σ = 140460687360. Its totient is φ = 5434490880.

The previous prime is 29106997901. The next prime is 29106997937. The reversal of 29106997920 is 2979960192.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 229188897 + ... + 229189023.

It is an arithmetic number, because the mean of its divisors is an integer number (91445760).

Almost surely, 2^29106997920 is an apocalyptic number.

29106997920 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 29106997920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70230343680).

29106997920 is an abundant number, since it is smaller than the sum of its proper divisors (111353689440).

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

29106997920 is a wasteful number, since it uses less digits than its factorization.

29106997920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 29106997920 in words is "twenty-nine billion, one hundred six million, nine hundred ninety-seven thousand, nine hundred twenty".