7252927189248 has 288 divisors, whose sum is σ = 21470726277504. Its totient is φ = 2159557410816.

The previous prime is 7252927189243. The next prime is 7252927189271. The reversal of 7252927189248 is 8429817292527.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (7252927189243) 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, 38534215 + ... + 38721977.

It is an arithmetic number, because the mean of its divisors is an integer number (74551132908).

Almost surely, 2^{7252927189248} is an apocalyptic number.

7252927189248 is a gapful number since it is divisible by the number (78) 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 7252927189248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10735363138752).

7252927189248 is an abundant number, since it is smaller than the sum of its proper divisors (14217799088256).

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

7252927189248 is a wasteful number, since it uses less digits than its factorization.

7252927189248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187921 (or 187907 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 66.

The spelling of 7252927189248 in words is "seven trillion, two hundred fifty-two billion, nine hundred twenty-seven million, one hundred eighty-nine thousand, two hundred forty-eight".