29798152020 has 672 divisors, whose sum is σ = 118788569088. Its totient is φ = 6107083776.

The previous prime is 29798152019. The next prime is 29798152051. The reversal of 29798152020 is 2025189792.

It is a happy number.

29798152020 is a `hidden beast` number, since 29 + 7 + 9 + 81 + 520 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 223 ways as a sum of consecutive naturals, for example, 49090557 + ... + 49091163.

It is an arithmetic number, because the mean of its divisors is an integer number (176768704).

Almost surely, 2^29798152020 is an apocalyptic number.

29798152020 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 29798152020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59394284544).

29798152020 is an abundant number, since it is smaller than the sum of its proper divisors (88990417068).

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

29798152020 is a wasteful number, since it uses less digits than its factorization.

29798152020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 29798152020 in words is "twenty-nine billion, seven hundred ninety-eight million, one hundred fifty-two thousand, twenty".