197991585792 has 1536 divisors, whose sum is σ = 814544640000. Its totient is φ = 46820229120.

The previous prime is 197991585767. The next prime is 197991585821. The reversal of 197991585792 is 297585199791.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 197991585792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2712213468 + ... + 2712213540.

It is an arithmetic number, because the mean of its divisors is an integer number (530302500).

Almost surely, 2^197991585792 is an apocalyptic number.

197991585792 is a gapful number since it is divisible by the number (12) 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 197991585792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407272320000).

197991585792 is an abundant number, since it is smaller than the sum of its proper divisors (616553054208).

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

197991585792 is a wasteful number, since it uses less digits than its factorization.

197991585792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 109 counting only the distinct ones).

The product of its digits is 128595600, while the sum is 72.

The spelling of 197991585792 in words is "one hundred ninety-seven billion, nine hundred ninety-one million, five hundred eighty-five thousand, seven hundred ninety-two".