20827238400 has 702 divisors, whose sum is σ = 79962769952. Its totient is φ = 5374771200.

The previous prime is 20827238387. The next prime is 20827238413. The reversal of 20827238400 is 483272802.

20827238400 is a `hidden beast` number, since 2 + 0 + 8 + 272 + 384 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20827238387) and next prime (20827238413).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 671846385 + ... + 671846415.

Almost surely, 2^20827238400 is an apocalyptic number.

20827238400 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 20827238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39981384976).

20827238400 is an abundant number, since it is smaller than the sum of its proper divisors (59135531552).

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

20827238400 is an frugal number, since it uses more digits than its factorization.

20827238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 20827238400 in words is "twenty billion, eight hundred twenty-seven million, two hundred thirty-eight thousand, four hundred".