1580413206960 has 800 divisors, whose sum is σ = 6353545347072. Its totient is φ = 356638464000.

The previous prime is 1580413206943. The next prime is 1580413206961. The reversal of 1580413206960 is 696023140851.

1580413206960 is a `hidden beast` number, since 1 + 580 + 4 + 1 + 3 + 2 + 0 + 6 + 9 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1580413206961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1445940174 + ... + 1445941266.

Almost surely, 2^{1580413206960} is an apocalyptic number.

1580413206960 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 1580413206960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3176772673536).

1580413206960 is an abundant number, since it is smaller than the sum of its proper divisors (4773132140112).

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

1580413206960 is a wasteful number, since it uses less digits than its factorization.

1580413206960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1580413206960 in words is "one trillion, five hundred eighty billion, four hundred thirteen million, two hundred six thousand, nine hundred sixty".