20674828800 has 1080 divisors, whose sum is σ = 85052743776. Its totient is φ = 4963368960.

The previous prime is 20674828781. The next prime is 20674828819. The reversal of 20674828800 is 882847602.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20674828781) and next prime (20674828819).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 898905589 + ... + 898905611.

Almost surely, 2^20674828800 is an apocalyptic number.

20674828800 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 20674828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42526371888).

20674828800 is an abundant number, since it is smaller than the sum of its proper divisors (64377914976).

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

20674828800 is an equidigital number, since it uses as much as digits as its factorization.

20674828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 20674828800 in words is "twenty billion, six hundred seventy-four million, eight hundred twenty-eight thousand, eight hundred".