20523427600 has 405 divisors, whose sum is σ = 58360312413. Its totient is φ = 6931491840.

The previous prime is 20523427567. The next prime is 20523427601. The reversal of 20523427600 is 672432502.

The square root of 20523427600 is 143260.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 18985532944 + 1537894656 = 137788^2 + 39216^2 .

It is a super-2 number, since 2×20523427600² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20523427601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 707704386 + ... + 707704414.

Almost surely, 2^20523427600 is an apocalyptic number.

20523427600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20523427600 is the 143260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20523427600

20523427600 is an abundant number, since it is smaller than the sum of its proper divisors (37836884813).

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

20523427600 is a wasteful number, since it uses less digits than its factorization.

20523427600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The spelling of 20523427600 in words is "twenty billion, five hundred twenty-three million, four hundred twenty-seven thousand, six hundred".