1171079268480 has 1024 divisors, whose sum is σ = 4712633049600. Its totient is φ = 272321740800.

The previous prime is 1171079268479. The next prime is 1171079268509. The reversal of 1171079268480 is 848629701711.

1171079268480 is a `hidden beast` number, since 1 + 1 + 7 + 10 + 7 + 92 + 68 + 480 = 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 127 ways as a sum of consecutive naturals, for example, 513404940 + ... + 513407220.

Almost surely, 2^{1171079268480} is an apocalyptic number.

1171079268480 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 1171079268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356316524800).

1171079268480 is an abundant number, since it is smaller than the sum of its proper divisors (3541553781120).

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

1171079268480 is a wasteful number, since it uses less digits than its factorization.

1171079268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 1171079268480 in words is "one trillion, one hundred seventy-one billion, seventy-nine million, two hundred sixty-eight thousand, four hundred eighty".