198800056900 has 27 divisors (see below), whose sum is σ = 431405799069. Its totient is φ = 79518239280.

The previous prime is 198800056883. The next prime is 198800056909. The reversal of 198800056900 is 9650008891.

The square root of 198800056900 is 445870.

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., 71568020484 + 127232036416 = 267522^2 + 356696^2 .

It is a super-2 number, since 2×198800056900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (198800056909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4436407 + ... + 4480993.

Almost surely, 2^198800056900 is an apocalyptic number.

198800056900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

198800056900 is the 445870-th square number.

It is an amenable number.

198800056900 is an abundant number, since it is smaller than the sum of its proper divisors (232605742169).

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

198800056900 is an frugal number, since it uses more digits than its factorization.

198800056900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89188 (or 44594 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 46.

It can be divided in two parts, 1988000 and 56900, that added together give a square (2044900 = 1430²).

The spelling of 198800056900 in words is "one hundred ninety-eight billion, eight hundred million, fifty-six thousand, nine hundred".