5122565680000 has 160 divisors (see below), whose sum is σ = 13423485141000. Its totient is φ = 1941182208000.

The previous prime is 5122565679989. The next prime is 5122565680007. The reversal of 5122565680000 is 865652215.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5122565680007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 165055 + ... + 3205054.

Almost surely, 2^{5122565680000} is an apocalyptic number.

5122565680000 is a gapful number since it is divisible by the number (50) 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 5122565680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6711742570500).

5122565680000 is an abundant number, since it is smaller than the sum of its proper divisors (8300919461000).

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

5122565680000 is an equidigital number, since it uses as much as digits as its factorization.

5122565680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370162 (or 3370135 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The spelling of 5122565680000 in words is "five trillion, one hundred twenty-two billion, five hundred sixty-five million, six hundred eighty thousand".