1580315996160 has 2496 divisors, whose sum is σ = 6952468377600. Its totient is φ = 336907468800.

The previous prime is 1580315996111. The next prime is 1580315996173. The reversal of 1580315996160 is 616995130851.

1580315996160 is a `hidden beast` number, since 1 + 5 + 8 + 0 + 3 + 15 + 9 + 9 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1580315996097 and 1580315996106.

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, 50977935345 + ... + 50977935375.

Almost surely, 2^{1580315996160} is an apocalyptic number.

1580315996160 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 1580315996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3476234188800).

1580315996160 is an abundant number, since it is smaller than the sum of its proper divisors (5372152381440).

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

1580315996160 is a wasteful number, since it uses less digits than its factorization.

1580315996160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 1580315996160 in words is "one trillion, five hundred eighty billion, three hundred fifteen million, nine hundred ninety-six thousand, one hundred sixty".