8525090953008 has 480 divisors, whose sum is σ = 29221386854400. Its totient is φ = 2267719372800.

The previous prime is 8525090953007. The next prime is 8525090953069. The reversal of 8525090953008 is 8003590905258.

8525090953008 is a `hidden beast` number, since 8 + 52 + 50 + 9 + 0 + 9 + 530 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (8525090953007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 254623213 + ... + 254656691.

It is an arithmetic number, because the mean of its divisors is an integer number (60877889280).

Almost surely, 2^{8525090953008} 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 8525090953008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14610693427200).

8525090953008 is an abundant number, since it is smaller than the sum of its proper divisors (20696295901392).

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

8525090953008 is a wasteful number, since it uses less digits than its factorization.

8525090953008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33841 (or 33832 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 8525090953008 in words is "eight trillion, five hundred twenty-five billion, ninety million, nine hundred fifty-three thousand, eight".