20118585600 has 405 divisors, whose sum is σ = 74767096327. Its totient is φ = 5337722880.

The previous prime is 20118585593. The next prime is 20118585659. The reversal of 20118585600 is 658581102.

The square root of 20118585600 is 141840.

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

20118585600 is a `hidden beast` number, since 2 + 0 + 1 + 18 + 585 + 60 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4639244544 + 15479341056 = 68112^2 + 124416^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 102124702 + ... + 102124898.

Almost surely, 2^20118585600 is an apocalyptic number.

20118585600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20118585600 is the 141840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20118585600

20118585600 is an abundant number, since it is smaller than the sum of its proper divisors (54648510727).

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

20118585600 is an frugal number, since it uses more digits than its factorization.

20118585600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

Multiplying 20118585600 by its sum of digits (36), we get a square (724269081600 = 851040²).

20118585600 divided by its sum of digits (36) gives a square (558849600 = 23640²).

The spelling of 20118585600 in words is "twenty billion, one hundred eighteen million, five hundred eighty-five thousand, six hundred".