12850815658560 has 448 divisors, whose sum is σ = 45617282887680. Its totient is φ = 3038838865920.

The previous prime is 12850815658531. The next prime is 12850815658589. The reversal of 12850815658560 is 6585651805821.

It is an interprime number because it is at equal distance from previous prime (12850815658531) and next prime (12850815658589).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 12850815658494 and 12850815658503.

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, 69149124 + ... + 69334716.

It is an arithmetic number, because the mean of its divisors is an integer number (101824292160).

Almost surely, 2^{12850815658560} is an apocalyptic number.

12850815658560 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 12850815658560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22808641443840).

12850815658560 is an abundant number, since it is smaller than the sum of its proper divisors (32766467229120).

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

12850815658560 is a wasteful number, since it uses less digits than its factorization.

12850815658560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185786 (or 185776 counting only the distinct ones).

The product of its (nonzero) digits is 23040000, while the sum is 60.

The spelling of 12850815658560 in words is "twelve trillion, eight hundred fifty billion, eight hundred fifteen million, six hundred fifty-eight thousand, five hundred sixty".