29678999400000 has 1008 divisors, whose sum is σ = 116075412573120. Its totient is φ = 7497619200000.

The previous prime is 29678999399923. The next prime is 29678999400013. The reversal of 29678999400000 is 499987692.

29678999400000 is a `hidden beast` number, since 2 + 9 + 67 + 89 + 99 + 400 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 923383930 + ... + 923416070.

It is an arithmetic number, because the mean of its divisors is an integer number (115154179140).

Almost surely, 2^{29678999400000} is an apocalyptic number.

29678999400000 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 29678999400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58037706286560).

29678999400000 is an abundant number, since it is smaller than the sum of its proper divisors (86396413173120).

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

29678999400000 is an frugal number, since it uses more digits than its factorization.

29678999400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32212 (or 32170 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 29678999400000 in words is "twenty-nine trillion, six hundred seventy-eight billion, nine hundred ninety-nine million, four hundred thousand".