1325918880 has 576 divisors, whose sum is σ = 5468456448. Its totient is φ = 288276480.

The previous prime is 1325918863. The next prime is 1325918903. The reversal of 1325918880 is 888195231.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9678172 + ... + 9678308.

It is an arithmetic number, because the mean of its divisors is an integer number (9493848).

Almost surely, 2^1325918880 is an apocalyptic number.

1325918880 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 1325918880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734228224).

1325918880 is an abundant number, since it is smaller than the sum of its proper divisors (4142537568).

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

1325918880 is a wasteful number, since it uses less digits than its factorization.

1325918880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 1325918880 is about 36413.1690463766. The cubic root of 1325918880 is about 1098.5984574358.

The spelling of 1325918880 in words is "one billion, three hundred twenty-five million, nine hundred eighteen thousand, eight hundred eighty".