20919347200 has 288 divisors, whose sum is σ = 54672672600. Its totient is φ = 7927234560.

The previous prime is 20919347179. The next prime is 20919347209. The reversal of 20919347200 is 274391902.

It can be written as a sum of positive squares in 12 ways, for example, as 541213696 + 20378133504 = 23264^2 + 142752^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20919347200.

It is not an unprimeable number, because it can be changed into a prime (20919347209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108390304 + ... + 108390496.

Almost surely, 2^20919347200 is an apocalyptic number.

20919347200 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 20919347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27336336300).

20919347200 is an abundant number, since it is smaller than the sum of its proper divisors (33753325400).

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

20919347200 is a wasteful number, since it uses less digits than its factorization.

20919347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 20919347200 in words is "twenty billion, nine hundred nineteen million, three hundred forty-seven thousand, two hundred".