8013862071072 has 768 divisors, whose sum is σ = 28506691584000. Its totient is φ = 2157025075200.

The previous prime is 8013862071067. The next prime is 8013862071091. The reversal of 8013862071072 is 2701702683108.

8013862071072 is a `hidden beast` number, since 8 + 0 + 1 + 3 + 8 + 620 + 7 + 10 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 685584204 + ... + 685595892.

It is an arithmetic number, because the mean of its divisors is an integer number (37118088000).

Almost surely, 2^{8013862071072} 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 8013862071072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14253345792000).

8013862071072 is an abundant number, since it is smaller than the sum of its proper divisors (20492829512928).

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

8013862071072 is a wasteful number, since it uses less digits than its factorization.

8013862071072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11942 (or 11928 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 8013862071072 in words is "eight trillion, thirteen billion, eight hundred sixty-two million, seventy-one thousand, seventy-two".