29997780080000 has 320 divisors, whose sum is σ = 76372545712320. Its totient is φ = 11727482880000.

The previous prime is 29997780079999. The next prime is 29997780080017. The reversal of 29997780080000 is 8008779992.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2906474840 + ... + 2906485160.

It is an arithmetic number, because the mean of its divisors is an integer number (238664205351).

Almost surely, 2^{29997780080000} is an apocalyptic number.

29997780080000 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 29997780080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38186272856160).

29997780080000 is an abundant number, since it is smaller than the sum of its proper divisors (46374765632320).

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

29997780080000 is an equidigital number, since it uses as much as digits as its factorization.

29997780080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11175 (or 11148 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 59.

The spelling of 29997780080000 in words is "twenty-nine trillion, nine hundred ninety-seven billion, seven hundred eighty million, eighty thousand".