1582979853312 has 704 divisors, whose sum is σ = 5576727582720. Its totient is φ = 442701987840.

The previous prime is 1582979853277. The next prime is 1582979853349. The reversal of 1582979853312 is 2133589792851.

1582979853312 is a `hidden beast` number, since 1 + 5 + 8 + 2 + 9 + 7 + 98 + 533 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a self number, because there is not a number n which added to its sum of digits gives 1582979853312.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 320244313 + ... + 320249255.

Almost surely, 2^{1582979853312} is an apocalyptic number.

1582979853312 is a gapful number since it is divisible by the number (12) 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 1582979853312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788363791360).

1582979853312 is an abundant number, since it is smaller than the sum of its proper divisors (3993747729408).

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

1582979853312 is an equidigital number, since it uses as much as digits as its factorization.

1582979853312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5008 (or 4972 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 63.

The spelling of 1582979853312 in words is "one trillion, five hundred eighty-two billion, nine hundred seventy-nine million, eight hundred fifty-three thousand, three hundred twelve".