1166852535840 has 288 divisors, whose sum is σ = 4221625262400. Its totient is φ = 292662097920.

The previous prime is 1166852535809. The next prime is 1166852535881. The reversal of 1166852535840 is 485352586611.

1166852535840 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 8 + 5 + 2 + 53 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3649630 + ... + 3956450.

It is an arithmetic number, because the mean of its divisors is an integer number (14658421050).

Almost surely, 2^{1166852535840} is an apocalyptic number.

1166852535840 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 1166852535840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110812631200).

1166852535840 is an abundant number, since it is smaller than the sum of its proper divisors (3054772726560).

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

1166852535840 is a wasteful number, since it uses less digits than its factorization.

1166852535840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307000 (or 306989 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 1166852535840 in words is "one trillion, one hundred sixty-six billion, eight hundred fifty-two million, five hundred thirty-five thousand, eight hundred forty".