20557824400 has 135 divisors (see below), whose sum is σ = 50611304289. Its totient is φ = 8024691840.

The previous prime is 20557824361. The next prime is 20557824431. The reversal of 20557824400 is 442875502.

20557824400 = 1³ + 2³ + ... + 535³.

It is a happy number.

The square root of 20557824400 is 143380.

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

It can be written as a sum of positive squares in only one way, i.e., 7400816784 + 13157007616 = 86028^2 + 114704^2 .

It is a super-4 number, since 4×20557824400⁴ (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20557824400.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 192129147 + ... + 192129253.

Almost surely, 2^20557824400 is an apocalyptic number.

20557824400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20557824400 is the 143380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20557824400

20557824400 is an abundant number, since it is smaller than the sum of its proper divisors (30053479889).

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

20557824400 is an equidigital number, since it uses as much as digits as its factorization.

20557824400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 37.

The spelling of 20557824400 in words is "twenty billion, five hundred fifty-seven million, eight hundred twenty-four thousand, four hundred".