1580120697168 has 800 divisors, whose sum is σ = 5421852041760. Its totient is φ = 439589928960.

The previous prime is 1580120697149. The next prime is 1580120697203. The reversal of 1580120697168 is 8617960210851.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 403527744 + 1579717169424 = 20088^2 + 1256868^2 .

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 159 ways as a sum of consecutive naturals, for example, 2334003646 + ... + 2334004322.

Almost surely, 2^{1580120697168} is an apocalyptic number.

1580120697168 is a gapful number since it is divisible by the number (18) 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 1580120697168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710926020880).

1580120697168 is an abundant number, since it is smaller than the sum of its proper divisors (3841731344592).

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

1580120697168 is a wasteful number, since it uses less digits than its factorization.

1580120697168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 1580120697168 in words is "one trillion, five hundred eighty billion, one hundred twenty million, six hundred ninety-seven thousand, one hundred sixty-eight".