1186915865940 has 576 divisors, whose sum is σ = 4247960371200. Its totient is φ = 262667059200.

The previous prime is 1186915865939. The next prime is 1186915865963. The reversal of 1186915865940 is 495685196811.

1186915865940 is a `hidden beast` number, since 1 + 1 + 8 + 6 + 9 + 1 + 586 + 5 + 9 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 2959889740 + ... + 2959890140.

It is an arithmetic number, because the mean of its divisors is an integer number (7374931200).

Almost surely, 2^{1186915865940} is an apocalyptic number.

1186915865940 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 1186915865940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123980185600).

1186915865940 is an abundant number, since it is smaller than the sum of its proper divisors (3061044505260).

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

1186915865940 is a wasteful number, since it uses less digits than its factorization.

1186915865940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 63.

The spelling of 1186915865940 in words is "one trillion, one hundred eighty-six billion, nine hundred fifteen million, eight hundred sixty-five thousand, nine hundred forty".