1187664859260 has 288 divisors, whose sum is σ = 4300309258560. Its totient is φ = 270982103040.

The previous prime is 1187664859259. The next prime is 1187664859273. The reversal of 1187664859260 is 629584667811.

1187664859260 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 6 + 6 + 485 + 92 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 576172 + ... + 1645388.

It is an arithmetic number, because the mean of its divisors is an integer number (14931629370).

Almost surely, 2^{1187664859260} is an apocalyptic number.

1187664859260 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 1187664859260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150154629280).

1187664859260 is an abundant number, since it is smaller than the sum of its proper divisors (3112644399300).

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

1187664859260 is a wasteful number, since it uses less digits than its factorization.

1187664859260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069274 (or 1069255 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 1187664859260 in words is "one trillion, one hundred eighty-seven billion, six hundred sixty-four million, eight hundred fifty-nine thousand, two hundred sixty".