8153116423680 has 320 divisors, whose sum is σ = 27456855148800. Its totient is φ = 2058192322560.

The previous prime is 8153116423657. The next prime is 8153116423691. The reversal of 8153116423680 is 863246113518.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201495291 + ... + 201535749.

It is an arithmetic number, because the mean of its divisors is an integer number (85802672340).

Almost surely, 2^{8153116423680} is an apocalyptic number.

8153116423680 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 8153116423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13728427574400).

8153116423680 is an abundant number, since it is smaller than the sum of its proper divisors (19303738725120).

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

8153116423680 is a wasteful number, since it uses less digits than its factorization.

8153116423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41885 (or 41869 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 8153116423680 in words is "eight trillion, one hundred fifty-three billion, one hundred sixteen million, four hundred twenty-three thousand, six hundred eighty".