1168801715200 has 528 divisors, whose sum is σ = 3429675201024. Its totient is φ = 386629632000.

The previous prime is 1168801715161. The next prime is 1168801715201. The reversal of 1168801715200 is 25171088611.

It is a super-2 number, since 2×1168801715200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1168801715201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 614834250 + ... + 614836150.

Almost surely, 2^{1168801715200} is an apocalyptic number.

1168801715200 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 1168801715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714837600512).

1168801715200 is an abundant number, since it is smaller than the sum of its proper divisors (2260873485824).

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

1168801715200 is a wasteful number, since it uses less digits than its factorization.

1168801715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 40.

The spelling of 1168801715200 in words is "one trillion, one hundred sixty-eight billion, eight hundred one million, seven hundred fifteen thousand, two hundred".