20894619200 has 756 divisors, whose sum is σ = 68992302960. Its totient is φ = 6189281280.

The previous prime is 20894619197. The next prime is 20894619223. The reversal of 20894619200 is 291649802.

It is a super-2 number, since 2×20894619200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 251742359 + ... + 251742441.

It is an arithmetic number, because the mean of its divisors is an integer number (91259660).

Almost surely, 2^20894619200 is an apocalyptic number.

20894619200 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 20894619200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34496151480).

20894619200 is an abundant number, since it is smaller than the sum of its proper divisors (48097683760).

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

20894619200 is a wasteful number, since it uses less digits than its factorization.

20894619200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The spelling of 20894619200 in words is "twenty billion, eight hundred ninety-four million, six hundred nineteen thousand, two hundred".