1325290540320 has 576 divisors, whose sum is σ = 4946932134144. Its totient is φ = 322116157440.

The previous prime is 1325290540303. The next prime is 1325290540331. The reversal of 1325290540320 is 230450925231.

1325290540320 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 2 + 90 + 540 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58379212 + ... + 58401908.

It is an arithmetic number, because the mean of its divisors is an integer number (8588423844).

Almost surely, 2^{1325290540320} is an apocalyptic number.

1325290540320 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 1325290540320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473466067072).

1325290540320 is an abundant number, since it is smaller than the sum of its proper divisors (3621641593824).

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

1325290540320 is a wasteful number, since it uses less digits than its factorization.

1325290540320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22825 (or 22814 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 1325290540320 in words is "one trillion, three hundred twenty-five billion, two hundred ninety million, five hundred forty thousand, three hundred twenty".