1191070954080 has 1152 divisors, whose sum is σ = 5038376878080. Its totient is φ = 259982161920.

The previous prime is 1191070954027. The next prime is 1191070954103. The reversal of 1191070954080 is 804590701911.

It is a happy number.

1191070954080 is a `hidden beast` number, since 1 + 1 + 91 + 0 + 70 + 95 + 408 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 666518947 + ... + 666520733.

It is an arithmetic number, because the mean of its divisors is an integer number (4373591040).

Almost surely, 2^{1191070954080} is an apocalyptic number.

1191070954080 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 1191070954080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519188439040).

1191070954080 is an abundant number, since it is smaller than the sum of its proper divisors (3847305924000).

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

1191070954080 is a wasteful number, since it uses less digits than its factorization.

1191070954080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 1191070954080 in words is "one trillion, one hundred ninety-one billion, seventy million, nine hundred fifty-four thousand, eighty".