1170485905680 has 1600 divisors, whose sum is σ = 5161529640960. Its totient is φ = 239272869888.

The previous prime is 1170485905657. The next prime is 1170485905723. The reversal of 1170485905680 is 865095840711.

It is a happy number.

1170485905680 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 48 + 590 + 5 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 4351248586 + ... + 4351248854.

Almost surely, 2^{1170485905680} is an apocalyptic number.

1170485905680 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 1170485905680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580764820480).

1170485905680 is an abundant number, since it is smaller than the sum of its proper divisors (3991043735280).

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

1170485905680 is a wasteful number, since it uses less digits than its factorization.

1170485905680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 1170485905680 in words is "one trillion, one hundred seventy billion, four hundred eighty-five million, nine hundred five thousand, six hundred eighty".