7252027881120 has 1296 divisors, whose sum is σ = 29277904481280. Its totient is φ = 1632810516480.

The previous prime is 7252027881083. The next prime is 7252027881157. The reversal of 7252027881120 is 211887202527.

7252027881120 is a `hidden beast` number, since 7 + 2 + 520 + 2 + 7 + 8 + 8 + 112 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7252027881083) and next prime (7252027881157).

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3978072529 + ... + 3978074351.

It is an arithmetic number, because the mean of its divisors is an integer number (22590975680).

Almost surely, 2^{7252027881120} 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 7252027881120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14638952240640).

7252027881120 is an abundant number, since it is smaller than the sum of its proper divisors (22025876600160).

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

7252027881120 is a wasteful number, since it uses less digits than its factorization.

7252027881120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 7252027881120 in words is "seven trillion, two hundred fifty-two billion, twenty-seven million, eight hundred eighty-one thousand, one hundred twenty".