29681963520 has 320 divisors, whose sum is σ = 104955675264. Its totient is φ = 7095582720.

The previous prime is 29681963497. The next prime is 29681963537. The reversal of 29681963520 is 2536918692.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×29681963520² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6164634 + ... + 6169446.

Almost surely, 2^29681963520 is an apocalyptic number.

29681963520 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 29681963520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52477837632).

29681963520 is an abundant number, since it is smaller than the sum of its proper divisors (75273711744).

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

29681963520 is a wasteful number, since it uses less digits than its factorization.

29681963520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4923 (or 4907 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 29681963520 in words is "twenty-nine billion, six hundred eighty-one million, nine hundred sixty-three thousand, five hundred twenty".