20069809200 has 720 divisors, whose sum is σ = 85814317056. Its totient is φ = 4242585600.

The previous prime is 20069809147. The next prime is 20069809237. The reversal of 20069809200 is 290896002.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 17967042 + ... + 17968158.

Almost surely, 2^20069809200 is an apocalyptic number.

20069809200 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 20069809200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42907158528).

20069809200 is an abundant number, since it is smaller than the sum of its proper divisors (65744507856).

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

20069809200 is a wasteful number, since it uses less digits than its factorization.

20069809200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 20069809200 in words is "twenty billion, sixty-nine million, eight hundred nine thousand, two hundred".