1164173135700 has 144 divisors (see below), whose sum is σ = 3571132544000. Its totient is φ = 291990821760.

The previous prime is 1164173135677. The next prime is 1164173135731. The reversal of 1164173135700 is 75313714611.

It is a super-2 number, since 2×1164173135700² (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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57621 + ... + 1526979.

Almost surely, 2^{1164173135700} is an apocalyptic number.

1164173135700 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 1164173135700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785566272000).

1164173135700 is an abundant number, since it is smaller than the sum of its proper divisors (2406959408300).

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

1164173135700 is a wasteful number, since it uses less digits than its factorization.

1164173135700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469534 (or 1469527 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The spelling of 1164173135700 in words is "one trillion, one hundred sixty-four billion, one hundred seventy-three million, one hundred thirty-five thousand, seven hundred".