29681393280 has 1536 divisors, whose sum is σ = 132615014400. Its totient is φ = 5563514880.

The previous prime is 29681393249. The next prime is 29681393311. The reversal of 29681393280 is 8239318692.

It is an interprime number because it is at equal distance from previous prime (29681393249) and next prime (29681393311).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 690264939 + ... + 690264981.

It is an arithmetic number, because the mean of its divisors is an integer number (86337900).

Almost surely, 2^29681393280 is an apocalyptic number.

29681393280 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 29681393280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66307507200).

29681393280 is an abundant number, since it is smaller than the sum of its proper divisors (102933621120).

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

29681393280 is a wasteful number, since it uses less digits than its factorization.

29681393280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

It can be divided in two parts, 296813 and 93280, that added together give a palindrome (390093).

The spelling of 29681393280 in words is "twenty-nine billion, six hundred eighty-one million, three hundred ninety-three thousand, two hundred eighty".