8129252160 has 336 divisors, whose sum is σ = 29185453440. Its totient is φ = 2074275840.

The previous prime is 8129252149. The next prime is 8129252177. The reversal of 8129252160 is 612529218.

8129252160 is a `hidden beast` number, since 8 + 129 + 2 + 521 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10940749 + ... + 10941491.

Almost surely, 2^8129252160 is an apocalyptic number.

8129252160 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 8129252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14592726720).

8129252160 is an abundant number, since it is smaller than the sum of its proper divisors (21056201280).

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

8129252160 is a wasteful number, since it uses less digits than its factorization.

8129252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 8129252160 is about 90162.3655412834. The cubic root of 8129252160 is about 2010.7135210918.

The spelling of 8129252160 in words is "eight billion, one hundred twenty-nine million, two hundred fifty-two thousand, one hundred sixty".