20352268800 has 720 divisors, whose sum is σ = 77572535040. Its totient is φ = 5087232000.

The previous prime is 20352268757. The next prime is 20352268813. The reversal of 20352268800 is 886225302.

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

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 71 ways as a sum of consecutive naturals, for example, 146419131 + ... + 146419269.

It is an arithmetic number, because the mean of its divisors is an integer number (107739632).

Almost surely, 2^20352268800 is an apocalyptic number.

20352268800 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 20352268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38786267520).

20352268800 is an abundant number, since it is smaller than the sum of its proper divisors (57220266240).

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

20352268800 is a wasteful number, since it uses less digits than its factorization.

20352268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 20352268800 in words is "twenty billion, three hundred fifty-two million, two hundred sixty-eight thousand, eight hundred".