1597597409520 has 480 divisors, whose sum is σ = 6187622538240. Its totient is φ = 361846517760.

The previous prime is 1597597409509. The next prime is 1597597409537. The reversal of 1597597409520 is 259047957951.

1597597409520 is a `hidden beast` number, since 1 + 5 + 97 + 5 + 97 + 409 + 52 + 0 = 666.

It is a Cunningham number, because it is equal to 1263961²-1.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 455024565 + ... + 455028075.

It is an arithmetic number, because the mean of its divisors is an integer number (12890880288).

Almost surely, 2^{1597597409520} is an apocalyptic number.

1597597409520 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 1597597409520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093811269120).

1597597409520 is an abundant number, since it is smaller than the sum of its proper divisors (4590025128720).

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

1597597409520 is a wasteful number, since it uses less digits than its factorization.

1597597409520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4333 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 35721000, while the sum is 63.

The spelling of 1597597409520 in words is "one trillion, five hundred ninety-seven billion, five hundred ninety-seven million, four hundred nine thousand, five hundred twenty".