1166861378592 has 1920 divisors, whose sum is σ = 4734153768960. Its totient is φ = 273307115520.

The previous prime is 1166861378587. The next prime is 1166861378671. The reversal of 1166861378592 is 2958731686611.

1166861378592 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 8 + 6 + 1 + 37 + 8 + 592 = 666.

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

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 319 ways as a sum of consecutive naturals, for example, 5140358383 + ... + 5140358609.

It is an arithmetic number, because the mean of its divisors is an integer number (2465705088).

Almost surely, 2^{1166861378592} is an apocalyptic number.

1166861378592 is a gapful number since it is divisible by the number (12) 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 1166861378592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367076884480).

1166861378592 is an abundant number, since it is smaller than the sum of its proper divisors (3567292390368).

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

1166861378592 is a wasteful number, since it uses less digits than its factorization.

1166861378592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 339 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 1166861378592 in words is "one trillion, one hundred sixty-six billion, eight hundred sixty-one million, three hundred seventy-eight thousand, five hundred ninety-two".