1171215751680 has 1080 divisors, whose sum is σ = 4553026968204. Its totient is φ = 278107914240.

The previous prime is 1171215751639. The next prime is 1171215751687. The reversal of 1171215751680 is 861575121711.

1171215751680 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 2 + 1 + 57 + 516 + 80 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 976437504 + 1170239314176 = 31248^2 + 1081776^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1171215751687) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3741903204 + ... + 3741903516.

Almost surely, 2^{1171215751680} is an apocalyptic number.

1171215751680 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 1171215751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276513484102).

1171215751680 is an abundant number, since it is smaller than the sum of its proper divisors (3381811216524).

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

1171215751680 is a wasteful number, since it uses less digits than its factorization.

1171215751680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 45.

The spelling of 1171215751680 in words is "one trillion, one hundred seventy-one billion, two hundred fifteen million, seven hundred fifty-one thousand, six hundred eighty".