1580609413152 has 576 divisors, whose sum is σ = 5799458488320. Its totient is φ = 409963783680.

The previous prime is 1580609413129. The next prime is 1580609413169. The reversal of 1580609413152 is 2513149060851.

It is a happy number.

1580609413152 is a `hidden beast` number, since 1 + 5 + 8 + 0 + 609 + 4 + 1 + 31 + 5 + 2 = 666.

It is a super-3 number, since 3×1580609413152³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1580609413098 and 1580609413107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 795474303 + ... + 795476289.

It is an arithmetic number, because the mean of its divisors is an integer number (10068504320).

Almost surely, 2^{1580609413152} is an apocalyptic number.

1580609413152 is a gapful number since it is divisible by the number (12) 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 1580609413152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899729244160).

1580609413152 is an abundant number, since it is smaller than the sum of its proper divisors (4218849075168).

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

1580609413152 is a wasteful number, since it uses less digits than its factorization.

1580609413152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 1580609413152 in words is "one trillion, five hundred eighty billion, six hundred nine million, four hundred thirteen thousand, one hundred fifty-two".