20452824000 has 896 divisors, whose sum is σ = 87337635840. Its totient is φ = 4646937600.

The previous prime is 20452823987. The next prime is 20452824011. The reversal of 20452824000 is 42825402.

It is a happy number.

20452824000 is a `hidden beast` number, since 204 + 52 + 8 + 2 + 400 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 122471917 + ... + 122472083.

It is an arithmetic number, because the mean of its divisors is an integer number (97475040).

Almost surely, 2^20452824000 is an apocalyptic number.

20452824000 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 20452824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43668817920).

20452824000 is an abundant number, since it is smaller than the sum of its proper divisors (66884811840).

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

20452824000 is an frugal number, since it uses more digits than its factorization.

20452824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 184 counting only the distinct ones).

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

The spelling of 20452824000 in words is "twenty billion, four hundred fifty-two million, eight hundred twenty-four thousand".