1177080470496 has 288 divisors, whose sum is σ = 3923023104000. Its totient is φ = 327842887680.

The previous prime is 1177080470483. The next prime is 1177080470497. The reversal of 1177080470496 is 6940740807711.

It is a happy number.

1177080470496 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 0 + 80 + 4 + 70 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1177080470497) 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, 12692905 + ... + 12785303.

It is an arithmetic number, because the mean of its divisors is an integer number (13621608000).

Almost surely, 2^{1177080470496} is an apocalyptic number.

1177080470496 is a gapful number since it is divisible by the number (16) 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 1177080470496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961511552000).

1177080470496 is an abundant number, since it is smaller than the sum of its proper divisors (2745942633504).

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

1177080470496 is a wasteful number, since it uses less digits than its factorization.

1177080470496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92582 (or 92571 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 1177080470496 in words is "one trillion, one hundred seventy-seven billion, eighty million, four hundred seventy thousand, four hundred ninety-six".