1187006680728 has 288 divisors, whose sum is σ = 3654078339600. Its totient is φ = 348068793600.

The previous prime is 1187006680667. The next prime is 1187006680757. The reversal of 1187006680728 is 8270866007811.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92088108 + ... + 92100996.

Almost surely, 2^{1187006680728} is an apocalyptic number.

1187006680728 is a gapful number since it is divisible by the number (18) 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 1187006680728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827039169800).

1187006680728 is an abundant number, since it is smaller than the sum of its proper divisors (2467071658872).

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

1187006680728 is a wasteful number, since it uses less digits than its factorization.

1187006680728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12996 (or 12936 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 1187006680728 in words is "one trillion, one hundred eighty-seven billion, six million, six hundred eighty thousand, seven hundred twenty-eight".