1172103056856 has 256 divisors, whose sum is σ = 3430563840000. Its totient is φ = 370077434496.

The previous prime is 1172103056821. The next prime is 1172103056867. The reversal of 1172103056856 is 6586503012711.

1172103056856 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 1 + 0 + 30 + 568 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 415785415 + ... + 415788233.

It is an arithmetic number, because the mean of its divisors is an integer number (13400640000).

Almost surely, 2^{1172103056856} 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 1172103056856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715281920000).

1172103056856 is an abundant number, since it is smaller than the sum of its proper divisors (2258460783144).

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

1172103056856 is a wasteful number, since it uses less digits than its factorization.

1172103056856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 1172103056856 in words is "one trillion, one hundred seventy-two billion, one hundred three million, fifty-six thousand, eight hundred fifty-six".