8525292005952 has 1120 divisors, whose sum is σ = 28812343127040. Its totient is φ = 2477888962560.

The previous prime is 8525292005947. The next prime is 8525292006001. The reversal of 8525292005952 is 2595002925258.

8525292005952 is a `hidden beast` number, since 8 + 5 + 2 + 5 + 29 + 20 + 0 + 595 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10384033702 + ... + 10384034522.

Almost surely, 2^{8525292005952} 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 8525292005952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14406171563520).

8525292005952 is an abundant number, since it is smaller than the sum of its proper divisors (20287051121088).

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

8525292005952 is a wasteful number, since it uses less digits than its factorization.

8525292005952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 8525292005952 in words is "eight trillion, five hundred twenty-five billion, two hundred ninety-two million, five thousand, nine hundred fifty-two".