29881498920 has 512 divisors, whose sum is σ = 115130695680. Its totient is φ = 6035005440.

The previous prime is 29881498909. The next prime is 29881498939. The reversal of 29881498920 is 2989418892.

It is a super-2 number, since 2×29881498920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 127 ways as a sum of consecutive naturals, for example, 34867132 + ... + 34867988.

It is an arithmetic number, because the mean of its divisors is an integer number (224864640).

Almost surely, 2^29881498920 is an apocalyptic number.

29881498920 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 29881498920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57565347840).

29881498920 is an abundant number, since it is smaller than the sum of its proper divisors (85249196760).

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

29881498920 is a wasteful number, since it uses less digits than its factorization.

29881498920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 60.

The spelling of 29881498920 in words is "twenty-nine billion, eight hundred eighty-one million, four hundred ninety-eight thousand, nine hundred twenty".