20527214400 has 1680 divisors, whose sum is σ = 100427893632. Its totient is φ = 4014489600.

The previous prime is 20527214353. The next prime is 20527214401. The reversal of 20527214400 is 441272502.

20527214400 is a `hidden beast` number, since 20 + 5 + 27 + 214 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (20527214401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1207483192 + ... + 1207483208.

Almost surely, 2^20527214400 is an apocalyptic number.

20527214400 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 20527214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50213946816).

20527214400 is an abundant number, since it is smaller than the sum of its proper divisors (79900679232).

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

20527214400 is a wasteful number, since it uses less digits than its factorization.

20527214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 20527214400 its reverse (441272502), we get a palindrome (20968486902).

The spelling of 20527214400 in words is "twenty billion, five hundred twenty-seven million, two hundred fourteen thousand, four hundred".