8126188188560 has 160 divisors (see below), whose sum is σ = 20405710200960. Its totient is φ = 2991752146944.

The previous prime is 8126188188557. The next prime is 8126188188617. The reversal of 8126188188560 is 658818816218.

It is a super-2 number, since 2×8126188188560² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8126188188493 and 8126188188502.

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, 596673431 + ... + 596687049.

It is an arithmetic number, because the mean of its divisors is an integer number (127535688756).

Almost surely, 2^{8126188188560} is an apocalyptic number.

8126188188560 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 8126188188560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10202855100480).

8126188188560 is an abundant number, since it is smaller than the sum of its proper divisors (12279522012400).

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

8126188188560 is a wasteful number, since it uses less digits than its factorization.

8126188188560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15265 (or 15259 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 62.

The spelling of 8126188188560 in words is "eight trillion, one hundred twenty-six billion, one hundred eighty-eight million, one hundred eighty-eight thousand, five hundred sixty".