1321725079584 has 1152 divisors, whose sum is σ = 5001304089600. Its totient is φ = 328326856704.

The previous prime is 1321725079579. The next prime is 1321725079601. The reversal of 1321725079584 is 4859705271231.

1321725079584 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 7 + 2 + 50 + 7 + 9 + 584 = 666.

It is a super-2 number, since 2×1321725079584² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1321725079584.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2156158062 + ... + 2156158674.

It is an arithmetic number, because the mean of its divisors is an integer number (4341409800).

Almost surely, 2^{1321725079584} is an apocalyptic number.

1321725079584 is a gapful number since it is divisible by the number (14) 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 1321725079584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500652044800).

1321725079584 is an abundant number, since it is smaller than the sum of its proper divisors (3679579010016).

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

1321725079584 is a wasteful number, since it uses less digits than its factorization.

1321725079584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 1321725079584 in words is "one trillion, three hundred twenty-one billion, seven hundred twenty-five million, seventy-nine thousand, five hundred eighty-four".