1582160947200 has 2016 divisors, whose sum is σ = 6526841630400. Its totient is φ = 378383892480.

The previous prime is 1582160947193. The next prime is 1582160947201. The reversal of 1582160947200 is 27490612851.

1582160947200 is a `hidden beast` number, since 1 + 582 + 1 + 6 + 0 + 9 + 47 + 20 + 0 = 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 (1582160947201) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 16310937552 + ... + 16310937648.

It is an arithmetic number, because the mean of its divisors is an integer number (3237520650).

Almost surely, 2^{1582160947200} is an apocalyptic number.

1582160947200 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 1582160947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3263420815200).

1582160947200 is an abundant number, since it is smaller than the sum of its proper divisors (4944680683200).

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

1582160947200 is an equidigital number, since it uses as much as digits as its factorization.

1582160947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1582160947200 in words is "one trillion, five hundred eighty-two billion, one hundred sixty million, nine hundred forty-seven thousand, two hundred".