1170752348880 has 240 divisors, whose sum is σ = 4012237307520. Its totient is φ = 305830167552.

The previous prime is 1170752348813. The next prime is 1170752348881. The reversal of 1170752348880 is 888432570711.

1170752348880 is a `hidden beast` number, since 1 + 1 + 70 + 7 + 523 + 48 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1170752348880² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1170752348881) 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, 24665811 + ... + 24713229.

It is an arithmetic number, because the mean of its divisors is an integer number (16717655448).

Almost surely, 2^{1170752348880} is an apocalyptic number.

1170752348880 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 1170752348880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006118653760).

1170752348880 is an abundant number, since it is smaller than the sum of its proper divisors (2841484958640).

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

1170752348880 is a wasteful number, since it uses less digits than its factorization.

1170752348880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48138 (or 48129 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 1170752348880 in words is "one trillion, one hundred seventy billion, seven hundred fifty-two million, three hundred forty-eight thousand, eight hundred eighty".