8013856163040 has 1440 divisors, whose sum is σ = 36033197729760. Its totient is φ = 1662076329984.

The previous prime is 8013856163029. The next prime is 8013856163041. The reversal of 8013856163040 is 403616583108.

8013856163040 is a `hidden beast` number, since 8 + 0 + 1 + 3 + 8 + 5 + 6 + 1 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8013856163041) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 487067454 + ... + 487083906.

It is an arithmetic number, because the mean of its divisors is an integer number (25023053979).

Almost surely, 2^{8013856163040} is an apocalyptic number.

8013856163040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8013856163040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18016598864880).

8013856163040 is an abundant number, since it is smaller than the sum of its proper divisors (28019341566720).

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

8013856163040 is a wasteful number, since it uses less digits than its factorization.

8013856163040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16566 (or 16542 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 8013856163040 in words is "eight trillion, thirteen billion, eight hundred fifty-six million, one hundred sixty-three thousand, forty".