29940760810080 has 384 divisors, whose sum is σ = 111861722649600. Its totient is φ = 7457445273600.

The previous prime is 29940760810069. The next prime is 29940760810153. The reversal of 29940760810080 is 8001806704992.

29940760810080 is a `hidden beast` number, since 2 + 99 + 407 + 60 + 8 + 10 + 0 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 29940760809999 and 29940760810026.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3258840 + ... + 8396520.

It is an arithmetic number, because the mean of its divisors is an integer number (291306569400).

Almost surely, 2^{29940760810080} is an apocalyptic number.

29940760810080 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 29940760810080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55930861324800).

29940760810080 is an abundant number, since it is smaller than the sum of its proper divisors (81920961839520).

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

29940760810080 is a wasteful number, since it uses less digits than its factorization.

29940760810080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5137795 (or 5137781 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 29940760810080 in words is "twenty-nine trillion, nine hundred forty billion, seven hundred sixty million, eight hundred ten thousand, eighty".