1325722514688 has 864 divisors, whose sum is σ = 4700693088000. Its totient is φ = 353794129920.

The previous prime is 1325722514687. The next prime is 1325722514747. The reversal of 1325722514688 is 8864152275231.

It is a happy number.

1325722514688 is a `hidden beast` number, since 1 + 3 + 2 + 572 + 2 + 5 + 1 + 4 + 68 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1325722514687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 850366453 + ... + 850368011.

It is an arithmetic number, because the mean of its divisors is an integer number (5440617000).

Almost surely, 2^{1325722514688} is an apocalyptic number.

1325722514688 is a gapful number since it is divisible by the number (18) 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 1325722514688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350346544000).

1325722514688 is an abundant number, since it is smaller than the sum of its proper divisors (3374970573312).

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

1325722514688 is a wasteful number, since it uses less digits than its factorization.

1325722514688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1706 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 1325722514688 in words is "one trillion, three hundred twenty-five billion, seven hundred twenty-two million, five hundred fourteen thousand, six hundred eighty-eight".