4812087720560 has 80 divisors (see below), whose sum is σ = 11494624788000. Its totient is φ = 1872137806848.

The previous prime is 4812087720553. The next prime is 4812087720563. The reversal of 4812087720560 is 650277802184.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4812087720499 and 4812087720508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4812087720563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7963991 + ... + 8546889.

It is an arithmetic number, because the mean of its divisors is an integer number (143682809850).

Almost surely, 2^{4812087720560} is an apocalyptic number.

4812087720560 is a gapful number since it is divisible by the number (40) 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 4812087720560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5747312394000).

4812087720560 is an abundant number, since it is smaller than the sum of its proper divisors (6682537067440).

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

4812087720560 is a wasteful number, since it uses less digits than its factorization.

4812087720560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585738 (or 585732 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 50.

The spelling of 4812087720560 in words is "four trillion, eight hundred twelve billion, eighty-seven million, seven hundred twenty thousand, five hundred sixty".