1170071360640 has 2688 divisors, whose sum is σ = 5466060472320. Its totient is φ = 237027409920.

The previous prime is 1170071360639. The next prime is 1170071360641. The reversal of 1170071360640 is 460631700711.

1170071360640 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 0 + 7 + 1 + 3 + 6 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (1170071360639) and next prime (1170071360641).

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1170071360595 and 1170071360604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1170071360641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 9213160257 + ... + 9213160383.

It is an arithmetic number, because the mean of its divisors is an integer number (2033504640).

Almost surely, 2^{1170071360640} is an apocalyptic number.

1170071360640 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 1170071360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733030236160).

1170071360640 is an abundant number, since it is smaller than the sum of its proper divisors (4295989111680).

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

1170071360640 is a wasteful number, since it uses less digits than its factorization.

1170071360640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 1170071360640 in words is "one trillion, one hundred seventy billion, seventy-one million, three hundred sixty thousand, six hundred forty".