1597279984560 has 240 divisors, whose sum is σ = 5780892499200. Its totient is φ = 392900069376.

The previous prime is 1597279984543. The next prime is 1597279984577. The reversal of 1597279984560 is 654899727951.

1597279984560 is a `hidden beast` number, since 1 + 59 + 7 + 2 + 7 + 9 + 9 + 8 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (1597279984543) and next prime (1597279984577).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13409746 + ... + 13528334.

It is an arithmetic number, because the mean of its divisors is an integer number (24087052080).

Almost surely, 2^{1597279984560} is an apocalyptic number.

1597279984560 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 1597279984560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890446249600).

1597279984560 is an abundant number, since it is smaller than the sum of its proper divisors (4183612514640).

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

1597279984560 is a wasteful number, since it uses less digits than its factorization.

1597279984560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120060 (or 120051 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 72.

The spelling of 1597279984560 in words is "one trillion, five hundred ninety-seven billion, two hundred seventy-nine million, nine hundred eighty-four thousand, five hundred sixty".