7125860716800 has 864 divisors, whose sum is σ = 27376021822464. Its totient is φ = 1598607360000.

The previous prime is 7125860716789. The next prime is 7125860716801. The reversal of 7125860716800 is 86170685217.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (7125860716801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6780076275 + ... + 6780077325.

Almost surely, 2^{7125860716800} is an apocalyptic number.

7125860716800 is a gapful number since it is divisible by the number (70) 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 7125860716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13688010911232).

7125860716800 is an abundant number, since it is smaller than the sum of its proper divisors (20250161105664).

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

7125860716800 is a wasteful number, since it uses less digits than its factorization.

7125860716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 51.

The spelling of 7125860716800 in words is "seven trillion, one hundred twenty-five billion, eight hundred sixty million, seven hundred sixteen thousand, eight hundred".