29931796961280 has 768 divisors, whose sum is σ = 110139015168000. Its totient is φ = 7704603131904.

The previous prime is 29931796961273. The next prime is 29931796961299. The reversal of 29931796961280 is 8216969713992.

29931796961280 is a `hidden beast` number, since 2 + 9 + 93 + 179 + 6 + 96 + 1 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 29931796961199 and 29931796961208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1299168001 + ... + 1299191039.

It is an arithmetic number, because the mean of its divisors is an integer number (143410176000).

Almost surely, 2^{29931796961280} is an apocalyptic number.

29931796961280 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 29931796961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55069507584000).

29931796961280 is an abundant number, since it is smaller than the sum of its proper divisors (80207218206720).

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

29931796961280 is a wasteful number, since it uses less digits than its factorization.

29931796961280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23239 (or 23213 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 72.

The spelling of 29931796961280 in words is "twenty-nine trillion, nine hundred thirty-one billion, seven hundred ninety-six million, nine hundred sixty-one thousand, two hundred eighty".