7520653252896 has 192 divisors, whose sum is σ = 22818774021120. Its totient is φ = 2124421678080.

The previous prime is 7520653252891. The next prime is 7520653252901. The reversal of 7520653252896 is 6982523560257.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7520653252891) and next prime (7520653252901).

It is a super-2 number, since 2×7520653252896² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7520653252891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23521815 + ... + 23839401.

It is an arithmetic number, because the mean of its divisors is an integer number (118847781360).

Almost surely, 2^{7520653252896} 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 7520653252896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11409387010560).

7520653252896 is an abundant number, since it is smaller than the sum of its proper divisors (15298120768224).

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

7520653252896 is a wasteful number, since it uses less digits than its factorization.

7520653252896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318007 (or 317999 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 60.

The spelling of 7520653252896 in words is "seven trillion, five hundred twenty billion, six hundred fifty-three million, two hundred fifty-two thousand, eight hundred ninety-six".