20054822400 has 900 divisors, whose sum is σ = 80214354792. Its totient is φ = 4939038720.

The previous prime is 20054822383. The next prime is 20054822407. The reversal of 20054822400 is 422845002.

It is a happy number.

20054822400 is a `hidden beast` number, since 200 + 54 + 8 + 2 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20054822407) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 691545586 + ... + 691545614.

Almost surely, 2^20054822400 is an apocalyptic number.

20054822400 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 20054822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40107177396).

20054822400 is an abundant number, since it is smaller than the sum of its proper divisors (60159532392).

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

20054822400 is an equidigital number, since it uses as much as digits as its factorization.

20054822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The spelling of 20054822400 in words is "twenty billion, fifty-four million, eight hundred twenty-two thousand, four hundred".