1597239198720 has 1056 divisors, whose sum is σ = 6404377173120. Its totient is φ = 374376038400.

The previous prime is 1597239198701. The next prime is 1597239198727. The reversal of 1597239198720 is 278919327951.

1597239198720 is a `hidden beast` number, since 1 + 5 + 97 + 2 + 391 + 98 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is not an unprimeable number, because it can be changed into a prime (1597239198727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1461334494 + ... + 1461335586.

Almost surely, 2^{1597239198720} is an apocalyptic number.

1597239198720 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 1597239198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3202188586560).

1597239198720 is an abundant number, since it is smaller than the sum of its proper divisors (4807137974400).

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

1597239198720 is a wasteful number, since it uses less digits than its factorization.

1597239198720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

The spelling of 1597239198720 in words is "one trillion, five hundred ninety-seven billion, two hundred thirty-nine million, one hundred ninety-eight thousand, seven hundred twenty".