8290025667072 has 240 divisors, whose sum is σ = 24555034749960. Its totient is φ = 2691402694656.

The previous prime is 8290025667037. The next prime is 8290025667097. The reversal of 8290025667072 is 2707665200928.

8290025667072 is a `hidden beast` number, since 8 + 2 + 9 + 0 + 0 + 2 + 566 + 7 + 0 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8251049431296 + 38976235776 = 2872464^2 + 197424^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33334804 + ... + 33582572.

Almost surely, 2^{8290025667072} 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 8290025667072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12277517374980).

8290025667072 is an abundant number, since it is smaller than the sum of its proper divisors (16265009082888).

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

8290025667072 is a wasteful number, since it uses less digits than its factorization.

8290025667072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247983 (or 247964 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 8290025667072 in words is "eight trillion, two hundred ninety billion, twenty-five million, six hundred sixty-seven thousand, seventy-two".