1107930864960 has 448 divisors, whose sum is σ = 3984113952000. Its totient is φ = 289789968384.

The previous prime is 1107930864959. The next prime is 1107930865009. The reversal of 1107930864960 is 694680397011.

1107930864960 is a `hidden beast` number, since 1 + 1 + 0 + 79 + 3 + 0 + 86 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1107930864897 and 1107930864906.

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, 94697191 + ... + 94708889.

It is an arithmetic number, because the mean of its divisors is an integer number (8893111500).

Almost surely, 2^{1107930864960} is an apocalyptic number.

1107930864960 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 1107930864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992056976000).

1107930864960 is an abundant number, since it is smaller than the sum of its proper divisors (2876183087040).

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

1107930864960 is a wasteful number, since it uses less digits than its factorization.

1107930864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11935 (or 11919 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 1107930864960 in words is "one trillion, one hundred seven billion, nine hundred thirty million, eight hundred sixty-four thousand, nine hundred sixty".