8125577856 has 576 divisors, whose sum is σ = 28443018240. Its totient is φ = 2299207680.

The previous prime is 8125577851. The next prime is 8125577857. The reversal of 8125577856 is 6587755218.

8125577856 is a `hidden beast` number, since 8 + 1 + 2 + 557 + 7 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4704000) is a multiple of the sum of its prime divisors (160).

It is not an unprimeable number, because it can be changed into a prime (8125577851) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63980865 + ... + 63980991.

It is an arithmetic number, because the mean of its divisors is an integer number (49380240).

Almost surely, 2^8125577856 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 8125577856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14221509120).

8125577856 is an abundant number, since it is smaller than the sum of its proper divisors (20317440384).

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

8125577856 is a wasteful number, since it uses less digits than its factorization.

8125577856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 160 counting only the distinct ones).

The product of its digits is 4704000, while the sum is 54.

The square root of 8125577856 is about 90141.9871979756. The cubic root of 8125577856 is about 2010.4105376622.

The spelling of 8125577856 in words is "eight billion, one hundred twenty-five million, five hundred seventy-seven thousand, eight hundred fifty-six".