29683280000 has 320 divisors, whose sum is σ = 81733212000. Its totient is φ = 10644480000.

The previous prime is 29683279987. The next prime is 29683280021. The reversal of 29683280000 is 8238692.

It is a happy number.

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

It is a super-2 number, since 2×29683280000² (a number of 22 digits) contains 22 as substring.

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, 78319811 + ... + 78320189.

Almost surely, 2^29683280000 is an apocalyptic number.

29683280000 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 29683280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40866606000).

29683280000 is an abundant number, since it is smaller than the sum of its proper divisors (52049932000).

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

29683280000 is an equidigital number, since it uses as much as digits as its factorization.

29683280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 29683280000 in words is "twenty-nine billion, six hundred eighty-three million, two hundred eighty thousand".