7522258617216 has 1920 divisors, whose sum is σ = 27830504037600. Its totient is φ = 2008587829248.

The previous prime is 7522258617151. The next prime is 7522258617271. The reversal of 7522258617216 is 6127168522257.

It is a happy number.

7522258617216 is a `hidden beast` number, since 7 + 5 + 2 + 2 + 2 + 5 + 8 + 617 + 2 + 16 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 84519759700 + ... + 84519759788.

Almost surely, 2^{7522258617216} 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 7522258617216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13915252018800).

7522258617216 is an abundant number, since it is smaller than the sum of its proper divisors (20308245420384).

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

7522258617216 is a wasteful number, since it uses less digits than its factorization.

7522258617216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 270 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 7522258617216 in words is "seven trillion, five hundred twenty-two billion, two hundred fifty-eight million, six hundred seventeen thousand, two hundred sixteen".