1166756253820 has 48 divisors (see below), whose sum is σ = 2496569348448. Its totient is φ = 457869052160.

The previous prime is 1166756253799. The next prime is 1166756253851. The reversal of 1166756253820 is 283526576611.

It is a super-2 number, since 2×1166756253820² (a number of 25 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 31793322 + ... + 31829998.

It is an arithmetic number, because the mean of its divisors is an integer number (52011861426).

Almost surely, 2^{1166756253820} is an apocalyptic number.

1166756253820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1166756253820 is an abundant number, since it is smaller than the sum of its proper divisors (1329813094628).

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

1166756253820 is a wasteful number, since it uses less digits than its factorization.

1166756253820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66750 (or 66748 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 1166756253820 in words is "one trillion, one hundred sixty-six billion, seven hundred fifty-six million, two hundred fifty-three thousand, eight hundred twenty".