1168677871200 has 432 divisors, whose sum is σ = 4916799210960. Its totient is φ = 267126128640.

The previous prime is 1168677871183. The next prime is 1168677871213. The reversal of 1168677871200 is 21787768611.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 506304 + ... + 1610496.

It is an arithmetic number, because the mean of its divisors is an integer number (11381479655).

Almost surely, 2^{1168677871200} is an apocalyptic number.

1168677871200 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 1168677871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458399605480).

1168677871200 is an abundant number, since it is smaller than the sum of its proper divisors (3748121339760).

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

1168677871200 is a wasteful number, since it uses less digits than its factorization.

1168677871200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104236 (or 1104210 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The spelling of 1168677871200 in words is "one trillion, one hundred sixty-eight billion, six hundred seventy-seven million, eight hundred seventy-one thousand, two hundred".