1582480463088 has 320 divisors, whose sum is σ = 4979561287680. Its totient is φ = 422740684800.

The previous prime is 1582480463059. The next prime is 1582480463107. The reversal of 1582480463088 is 8803640842851.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 977442343 + ... + 977443961.

It is an arithmetic number, because the mean of its divisors is an integer number (15561129024).

Almost surely, 2^{1582480463088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1582480463088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489780643840).

1582480463088 is an abundant number, since it is smaller than the sum of its proper divisors (3397080824592).

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

1582480463088 is a wasteful number, since it uses less digits than its factorization.

1582480463088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 57.

The spelling of 1582480463088 in words is "one trillion, five hundred eighty-two billion, four hundred eighty million, four hundred sixty-three thousand, eighty-eight".