1172795985504 has 432 divisors, whose sum is σ = 4085699776704. Its totient is φ = 328050777600.

The previous prime is 1172795985497. The next prime is 1172795985509. The reversal of 1172795985504 is 4055895972711.

1172795985504 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 79 + 5 + 9 + 8 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1172795985504² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1172795985509) 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 71 ways as a sum of consecutive naturals, for example, 14415019 + ... + 14496149.

It is an arithmetic number, because the mean of its divisors is an integer number (9457638372).

Almost surely, 2^{1172795985504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1172795985504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042849888352).

1172795985504 is an abundant number, since it is smaller than the sum of its proper divisors (2912903791200).

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

1172795985504 is a wasteful number, since it uses less digits than its factorization.

1172795985504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81193 (or 81160 counting only the distinct ones).

The product of its (nonzero) digits is 31752000, while the sum is 63.

The spelling of 1172795985504 in words is "one trillion, one hundred seventy-two billion, seven hundred ninety-five million, nine hundred eighty-five thousand, five hundred four".