1117880753184 has 576 divisors, whose sum is σ = 3688949392128. Its totient is φ = 318401740800.

The previous prime is 1117880753179. The next prime is 1117880753221. The reversal of 1117880753184 is 4813570887111.

1117880753184 is a `hidden beast` number, since 11 + 17 + 8 + 8 + 0 + 7 + 531 + 84 = 666.

It is a super-2 number, since 2×1117880753184² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1117880753184.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 462506344 + ... + 462508760.

It is an arithmetic number, because the mean of its divisors is an integer number (6404426028).

Almost surely, 2^{1117880753184} 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 1117880753184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844474696064).

1117880753184 is an abundant number, since it is smaller than the sum of its proper divisors (2571068638944).

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

1117880753184 is a wasteful number, since it uses less digits than its factorization.

1117880753184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 54.

The spelling of 1117880753184 in words is "one trillion, one hundred seventeen billion, eight hundred eighty million, seven hundred fifty-three thousand, one hundred eighty-four".