29085674488920 has 576 divisors, whose sum is σ = 114801031987200. Its totient is φ = 6254913392640.

The previous prime is 29085674488901. The next prime is 29085674489017. The reversal of 29085674488920 is 2988447658092.

29085674488920 is a `hidden beast` number, since 2 + 9 + 0 + 8 + 56 + 7 + 4 + 488 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 143 ways as a sum of consecutive naturals, for example, 2970649225 + ... + 2970659015.

It is an arithmetic number, because the mean of its divisors is an integer number (199307347200).

Almost surely, 2^{29085674488920} is an apocalyptic number.

29085674488920 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 29085674488920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57400515993600).

29085674488920 is an abundant number, since it is smaller than the sum of its proper divisors (85715357498280).

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

29085674488920 is a wasteful number, since it uses less digits than its factorization.

29085674488920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13928 (or 13904 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 29085674488920 in words is "twenty-nine trillion, eighty-five billion, six hundred seventy-four million, four hundred eighty-eight thousand, nine hundred twenty".