20019268800 has 336 divisors, whose sum is σ = 73451191680. Its totient is φ = 5303854080.

The previous prime is 20019268771. The next prime is 20019268817. The reversal of 20019268800 is 886291002.

It is a super-2 number, since 2×20019268800² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 7040179 + ... + 7043021.

Almost surely, 2^20019268800 is an apocalyptic number.

20019268800 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 20019268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36725595840).

20019268800 is an abundant number, since it is smaller than the sum of its proper divisors (53431922880).

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

20019268800 is a wasteful number, since it uses less digits than its factorization.

20019268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3037 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 20019268800 in words is "twenty billion, nineteen million, two hundred sixty-eight thousand, eight hundred".