1186725646260 has 1296 divisors, whose sum is σ = 4981280758272. Its totient is φ = 225871027200.

The previous prime is 1186725646207. The next prime is 1186725646367. The reversal of 1186725646260 is 626465276811.

1186725646260 is a `hidden beast` number, since 1 + 1 + 8 + 6 + 7 + 2 + 5 + 6 + 4 + 626 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1186725646197 and 1186725646206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1085750274 + ... + 1085751366.

It is an arithmetic number, because the mean of its divisors is an integer number (3843580832).

Almost surely, 2^{1186725646260} is an apocalyptic number.

1186725646260 is a gapful number since it is divisible by the number (10) 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 1186725646260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490640379136).

1186725646260 is an abundant number, since it is smaller than the sum of its proper divisors (3794555112012).

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

1186725646260 is a wasteful number, since it uses less digits than its factorization.

1186725646260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 1186725646260 in words is "one trillion, one hundred eighty-six billion, seven hundred twenty-five million, six hundred forty-six thousand, two hundred sixty".