197985070080 has 1056 divisors, whose sum is σ = 823018195584. Its totient is φ = 43061870592.

The previous prime is 197985070057. The next prime is 197985070097. The reversal of 197985070080 is 80070589791.

It is a super-2 number, since 2×197985070080² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 197985069999 and 197985070026.

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, 632540004 + ... + 632540316.

Almost surely, 2^197985070080 is an apocalyptic number.

197985070080 is a gapful number since it is divisible by the number (10) 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 197985070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411509097792).

197985070080 is an abundant number, since it is smaller than the sum of its proper divisors (625033125504).

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

197985070080 is a wasteful number, since it uses less digits than its factorization.

197985070080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The spelling of 197985070080 in words is "one hundred ninety-seven billion, nine hundred eighty-five million, seventy thousand, eighty".