29760083828160 has 224 divisors, whose sum is σ = 108180475292160. Its totient is φ = 6790091624448.

The previous prime is 29760083828159. The next prime is 29760083828173. The reversal of 29760083828160 is 6182838006792.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×29760083828160² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 29760083828094 and 29760083828103.

It is a congruent number.

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, 232350 + ... + 7718429.

Almost surely, 2^{29760083828160} is an apocalyptic number.

29760083828160 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 29760083828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54090237646080).

29760083828160 is an abundant number, since it is smaller than the sum of its proper divisors (78420391464000).

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

29760083828160 is a wasteful number, since it uses less digits than its factorization.

29760083828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7951363 (or 7951353 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 29760083828160 in words is "twenty-nine trillion, seven hundred sixty billion, eighty-three million, eight hundred twenty-eight thousand, one hundred sixty".