8125159680 has 864 divisors, whose sum is σ = 33274684800. Its totient is φ = 1873428480.

The previous prime is 8125159663. The next prime is 8125159687. The reversal of 8125159680 is 869515218.

It is a happy number.

8125159680 is a `hidden beast` number, since 8 + 1 + 2 + 51 + 596 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (8125159687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121271007 + ... + 121271073.

Almost surely, 2^8125159680 is an apocalyptic number.

8125159680 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 8125159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16637342400).

8125159680 is an abundant number, since it is smaller than the sum of its proper divisors (25149525120).

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

8125159680 is a wasteful number, since it uses less digits than its factorization.

8125159680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The square root of 8125159680 is about 90139.6676275212. The cubic root of 8125159680 is about 2010.3760490439.

The spelling of 8125159680 in words is "eight billion, one hundred twenty-five million, one hundred fifty-nine thousand, six hundred eighty".