1325584465920 has 1800 divisors, whose sum is σ = 5669737446912. Its totient is φ = 294298583040.

The previous prime is 1325584465883. The next prime is 1325584465937. The reversal of 1325584465920 is 295644855231.

1325584465920 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 5 + 8 + 4 + 46 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10437672897 + ... + 10437673023.

Almost surely, 2^{1325584465920} is an apocalyptic number.

1325584465920 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 1325584465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834868723456).

1325584465920 is an abundant number, since it is smaller than the sum of its proper divisors (4344152980992).

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

1325584465920 is a wasteful number, since it uses less digits than its factorization.

1325584465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 1325584465920 in words is "one trillion, three hundred twenty-five billion, five hundred eighty-four million, four hundred sixty-five thousand, nine hundred twenty".