1325750146560 has 2880 divisors, whose sum is σ = 6063955881984. Its totient is φ = 275904921600.

The previous prime is 1325750146549. The next prime is 1325750146573. The reversal of 1325750146560 is 656410575231.

1325750146560 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 75 + 0 + 14 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×1325750146560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21733608930 + ... + 21733608990.

Almost surely, 2^{1325750146560} is an apocalyptic number.

1325750146560 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 1325750146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3031977940992).

1325750146560 is an abundant number, since it is smaller than the sum of its proper divisors (4738205735424).

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

1325750146560 is an equidigital number, since it uses as much as digits as its factorization.

1325750146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 1325750146560 in words is "one trillion, three hundred twenty-five billion, seven hundred fifty million, one hundred forty-six thousand, five hundred sixty".