8187125760 has 448 divisors, whose sum is σ = 31801368960. Its totient is φ = 1981808640.

The previous prime is 8187125741. The next prime is 8187125773. The reversal of 8187125760 is 675217818.

It is a happy number.

8187125760 is a `hidden beast` number, since 8 + 1 + 8 + 71 + 2 + 576 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12164784 + ... + 12165456.

Almost surely, 2^8187125760 is an apocalyptic number.

8187125760 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 8187125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15900684480).

8187125760 is an abundant number, since it is smaller than the sum of its proper divisors (23614243200).

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

8187125760 is a wasteful number, since it uses less digits than its factorization.

8187125760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The square root of 8187125760 is about 90482.7373591228. The cubic root of 8187125760 is about 2015.4737855624.

The spelling of 8187125760 in words is "eight billion, one hundred eighty-seven million, one hundred twenty-five thousand, seven hundred sixty".