7552250265600 has 1080 divisors, whose sum is σ = 29283631977600. Its totient is φ = 1925787156480.

The previous prime is 7552250265587. The next prime is 7552250265607. The reversal of 7552250265600 is 65620522557.

7552250265600 is a `hidden beast` number, since 7 + 5 + 5 + 22 + 502 + 65 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7552250265607) 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 71 ways as a sum of consecutive naturals, for example, 2289252751 + ... + 2289256049.

Almost surely, 2^{7552250265600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7552250265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14641815988800).

7552250265600 is an abundant number, since it is smaller than the sum of its proper divisors (21731381712000).

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

7552250265600 is an equidigital number, since it uses as much as digits as its factorization.

7552250265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3332 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 7552250265600 in words is "seven trillion, five hundred fifty-two billion, two hundred fifty million, two hundred sixty-five thousand, six hundred".