1172713726080 has 768 divisors, whose sum is σ = 4443386220000. Its totient is φ = 283268874240.

The previous prime is 1172713726049. The next prime is 1172713726097. The reversal of 1172713726080 is 806273172711.

1172713726080 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 7 + 1 + 37 + 2 + 608 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 136609344 + 1172577116736 = 11688^2 + 1082856^2 .

It is a super-3 number, since 3×1172713726080³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 992983090 + ... + 992984270.

Almost surely, 2^{1172713726080} is an apocalyptic number.

1172713726080 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 1172713726080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221693110000).

1172713726080 is an abundant number, since it is smaller than the sum of its proper divisors (3270672493920).

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

1172713726080 is a wasteful number, since it uses less digits than its factorization.

1172713726080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

Adding to 1172713726080 its reverse (806273172711), we get a palindrome (1978986898791).

The spelling of 1172713726080 in words is "one trillion, one hundred seventy-two billion, seven hundred thirteen million, seven hundred twenty-six thousand, eighty".