29116469329920 has 1440 divisors, whose sum is σ = 120290175602688. Its totient is φ = 6618278264832.

The previous prime is 29116469329903. The next prime is 29116469329943. The reversal of 29116469329920 is 2992396461192.

29116469329920 is a `hidden beast` number, since 2 + 9 + 1 + 164 + 69 + 329 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31074139692 + ... + 31074140628.

Almost surely, 2^{29116469329920} is an apocalyptic number.

29116469329920 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 29116469329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60145087801344).

29116469329920 is an abundant number, since it is smaller than the sum of its proper divisors (91173706272768).

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

29116469329920 is an frugal number, since it uses more digits than its factorization.

29116469329920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 29116469329920 in words is "twenty-nine trillion, one hundred sixteen billion, four hundred sixty-nine million, three hundred twenty-nine thousand, nine hundred twenty".