7125903912960 has 1248 divisors, whose sum is σ = 29344902033408. Its totient is φ = 1565133373440.

The previous prime is 7125903912949. The next prime is 7125903912971. The reversal of 7125903912960 is 692193095217.

7125903912960 is a `hidden beast` number, since 7 + 1 + 2 + 590 + 39 + 12 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7125903912949) and next prime (7125903912971).

It is a junction number, because it is equal to n+sod(n) for n = 7125903912897 and 7125903912906.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 6519582174 + ... + 6519583266.

It is an arithmetic number, because the mean of its divisors is an integer number (23513543296).

Almost surely, 2^{7125903912960} is an apocalyptic number.

7125903912960 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 7125903912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14672451016704).

7125903912960 is an abundant number, since it is smaller than the sum of its proper divisors (22218998120448).

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

7125903912960 is a wasteful number, since it uses less digits than its factorization.

7125903912960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 7125903912960 in words is "seven trillion, one hundred twenty-five billion, nine hundred three million, nine hundred twelve thousand, nine hundred sixty".