8121790172160 has 2376 divisors, whose sum is σ = 35787530853360. Its totient is φ = 1693331619840.

The previous prime is 8121790172147. The next prime is 8121790172183. The reversal of 8121790172160 is 612710971218.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 41227361182 + ... + 41227361378.

It is an arithmetic number, because the mean of its divisors is an integer number (15062092110).

Almost surely, 2^{8121790172160} is an apocalyptic number.

8121790172160 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 8121790172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17893765426680).

8121790172160 is an abundant number, since it is smaller than the sum of its proper divisors (27665740681200).

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

8121790172160 is a wasteful number, since it uses less digits than its factorization.

8121790172160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 8121790172160 in words is "eight trillion, one hundred twenty-one billion, seven hundred ninety million, one hundred seventy-two thousand, one hundred sixty".