29916466413180 has 24 divisors (see below), whose sum is σ = 83766105957072. Its totient is φ = 7977724376832.

The previous prime is 29916466413173. The next prime is 29916466413187. The reversal of 29916466413180 is 8131466461992.

It is an interprime number because it is at equal distance from previous prime (29916466413173) and next prime (29916466413187).

It is a Harshad number since it is a multiple of its sum of digits (60), and also a Moran number because the ratio is a prime number: 498607773553 = 29916466413180 / (2 + 9 + 9 + 1 + 6 + 4 + 6 + 6 + 4 + 1 + 3 + 1 + 8 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29916466413187) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249303886717 + ... + 249303886836.

It is an arithmetic number, because the mean of its divisors is an integer number (3490254414878).

Almost surely, 2^{29916466413180} is an apocalyptic number.

29916466413180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29916466413180 is an abundant number, since it is smaller than the sum of its proper divisors (53849639543892).

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

29916466413180 is a wasteful number, since it uses less digits than its factorization.

29916466413180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498607773565 (or 498607773563 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 29916466413180 in words is "twenty-nine trillion, nine hundred sixteen billion, four hundred sixty-six million, four hundred thirteen thousand, one hundred eighty".