8152240714272 has 288 divisors, whose sum is σ = 24922235520000. Its totient is φ = 2522021160960.

The previous prime is 8152240714237. The next prime is 8152240714291. The reversal of 8152240714272 is 2724170422518.

8152240714272 is a `hidden beast` number, since 8 + 1 + 522 + 40 + 7 + 14 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38472229 + ... + 38683547.

It is an arithmetic number, because the mean of its divisors is an integer number (86535540000).

Almost surely, 2^{8152240714272} 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 8152240714272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12461117760000).

8152240714272 is an abundant number, since it is smaller than the sum of its proper divisors (16769994805728).

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

8152240714272 is a wasteful number, since it uses less digits than its factorization.

8152240714272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211544 (or 211533 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 8152240714272 in words is "eight trillion, one hundred fifty-two billion, two hundred forty million, seven hundred fourteen thousand, two hundred seventy-two".