1597974648480 has 504 divisors, whose sum is σ = 6584376630132. Its totient is φ = 365250041856.

The previous prime is 1597974648437. The next prime is 1597974648499. The reversal of 1597974648480 is 848464797951.

1597974648480 is a `hidden beast` number, since 1 + 5 + 9 + 7 + 9 + 7 + 464 + 84 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1554121262736 + 43853385744 = 1246644^2 + 209412^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a junction number, because it is equal to n+sod(n) for n = 1597974648399 and 1597974648408.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5575564 + ... + 5855156.

Almost surely, 2^{1597974648480} is an apocalyptic number.

1597974648480 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 1597974648480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292188315066).

1597974648480 is an abundant number, since it is smaller than the sum of its proper divisors (4986401981652).

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

1597974648480 is an equidigital number, since it uses as much as digits as its factorization.

1597974648480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279640 (or 279610 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 1597974648480 in words is "one trillion, five hundred ninety-seven billion, nine hundred seventy-four million, six hundred forty-eight thousand, four hundred eighty".