7975255554560 has 1280 divisors, whose sum is σ = 24634573286400. Its totient is φ = 2464709345280.

The previous prime is 7975255554493. The next prime is 7975255554619. The reversal of 7975255554560 is 654555525797.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50797806002 + ... + 50797806158.

It is an arithmetic number, because the mean of its divisors is an integer number (19245760380).

Almost surely, 2^{7975255554560} is an apocalyptic number.

7975255554560 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 7975255554560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12317286643200).

7975255554560 is an abundant number, since it is smaller than the sum of its proper divisors (16659317731840).

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

7975255554560 is a wasteful number, since it uses less digits than its factorization.

7975255554560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 330750000, while the sum is 65.

The spelling of 7975255554560 in words is "seven trillion, nine hundred seventy-five billion, two hundred fifty-five million, five hundred fifty-four thousand, five hundred sixty".