198940525056 has 960 divisors, whose sum is σ = 734520154368. Its totient is φ = 50451185664.

The previous prime is 198940525019. The next prime is 198940525067. The reversal of 198940525056 is 650525049891.

198940525056 is a `hidden beast` number, since 1 + 9 + 89 + 4 + 0 + 52 + 505 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 198940524993 and 198940525011.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2050933200 + ... + 2050933296.

Almost surely, 2^198940525056 is an apocalyptic number.

198940525056 is a gapful number since it is divisible by the number (16) 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 198940525056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367260077184).

198940525056 is an abundant number, since it is smaller than the sum of its proper divisors (535579629312).

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

198940525056 is a wasteful number, since it uses less digits than its factorization.

198940525056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 198940525056 in words is "one hundred ninety-eight billion, nine hundred forty million, five hundred twenty-five thousand, fifty-six".