8001972206592 has 528 divisors, whose sum is σ = 26467808256000. Its totient is φ = 2104533909504.

The previous prime is 8001972206561. The next prime is 8001972206597. The reversal of 8001972206592 is 2956022791008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8001972206597) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1391886534 + ... + 1391892282.

Almost surely, 2^{8001972206592} 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 8001972206592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13233904128000).

8001972206592 is an abundant number, since it is smaller than the sum of its proper divisors (18465836049408).

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

8001972206592 is a wasteful number, since it uses less digits than its factorization.

8001972206592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6188 (or 6157 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 8001972206592 in words is "eight trillion, one billion, nine hundred seventy-two million, two hundred six thousand, five hundred ninety-two".