29870483166720 has 3360 divisors, whose sum is σ = 132599191608576. Its totient is φ = 6421059993600.

The previous prime is 29870483166647. The next prime is 29870483166737. The reversal of 29870483166720 is 2766138407892.

29870483166720 is a `hidden beast` number, since 2 + 9 + 8 + 70 + 483 + 1 + 6 + 67 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×29870483166720² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 335 ways as a sum of consecutive naturals, for example, 116227560832 + ... + 116227561088.

Almost surely, 2^{29870483166720} is an apocalyptic number.

29870483166720 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 29870483166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66299595804288).

29870483166720 is an abundant number, since it is smaller than the sum of its proper divisors (102728708441856).

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

29870483166720 is an equidigital number, since it uses as much as digits as its factorization.

29870483166720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 29870483166720 in words is "twenty-nine trillion, eight hundred seventy billion, four hundred eighty-three million, one hundred sixty-six thousand, seven hundred twenty".