8165877760000 has 675 divisors, whose sum is σ = 22006159164759. Its totient is φ = 3028598784000.

The previous prime is 8165877759989. The next prime is 8165877760009. The reversal of 8165877760000 is 677785618.

The square root of 8165877760000 is 2857600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 640204816384 + 7525672943616 = 800128^2 + 2743296^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8165877760009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 173742079977 + ... + 173742080023.

Almost surely, 2^{8165877760000} is an apocalyptic number.

8165877760000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8165877760000 is the 2857600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8165877760000

8165877760000 is an abundant number, since it is smaller than the sum of its proper divisors (13840281404759).

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

8165877760000 is an frugal number, since it uses more digits than its factorization.

8165877760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 55.

The spelling of 8165877760000 in words is "eight trillion, one hundred sixty-five billion, eight hundred seventy-seven million, seven hundred sixty thousand".