29968081920 has 1232 divisors, whose sum is σ = 130590870528. Its totient is φ = 6449725440.

The previous prime is 29968081901. The next prime is 29968081937. The reversal of 29968081920 is 2918086992.

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 111 ways as a sum of consecutive naturals, for example, 809948142 + ... + 809948178.

Almost surely, 2^29968081920 is an apocalyptic number.

29968081920 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 29968081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65295435264).

29968081920 is an abundant number, since it is smaller than the sum of its proper divisors (100622788608).

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

29968081920 is an equidigital number, since it uses as much as digits as its factorization.

29968081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 29968081920 in words is "twenty-nine billion, nine hundred sixty-eight million, eighty-one thousand, nine hundred twenty".