29963923920 has 640 divisors, whose sum is σ = 127843246080. Its totient is φ = 6293790720.

The previous prime is 29963923883. The next prime is 29963923961. The reversal of 29963923920 is 2932936992.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11051365 + ... + 11054075.

It is an arithmetic number, because the mean of its divisors is an integer number (199755072).

Almost surely, 2^29963923920 is an apocalyptic number.

29963923920 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 29963923920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63921623040).

29963923920 is an abundant number, since it is smaller than the sum of its proper divisors (97879322160).

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

29963923920 is a wasteful number, since it uses less digits than its factorization.

29963923920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 54.

The spelling of 29963923920 in words is "twenty-nine billion, nine hundred sixty-three million, nine hundred twenty-three thousand, nine hundred twenty".