1580223156120 has 768 divisors, whose sum is σ = 6257329920000. Its totient is φ = 347467760640.

The previous prime is 1580223156079. The next prime is 1580223156133. The reversal of 1580223156120 is 216513220851.

1580223156120 is a `hidden beast` number, since 1 + 5 + 8 + 0 + 2 + 2 + 31 + 5 + 612 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1445766294 + ... + 1445767386.

It is an arithmetic number, because the mean of its divisors is an integer number (8147565000).

Almost surely, 2^{1580223156120} is an apocalyptic number.

1580223156120 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 1580223156120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3128664960000).

1580223156120 is an abundant number, since it is smaller than the sum of its proper divisors (4677106763880).

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

1580223156120 is a wasteful number, since it uses less digits than its factorization.

1580223156120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 1580223156120 its reverse (216513220851), we get a palindrome (1796736376971).

The spelling of 1580223156120 in words is "one trillion, five hundred eighty billion, two hundred twenty-three million, one hundred fifty-six thousand, one hundred twenty".