1017921864960 has 1728 divisors, whose sum is σ = 4846294043136. Its totient is φ = 190395187200.

The previous prime is 1017921864941. The next prime is 1017921864989. The reversal of 1017921864960 is 694681297101.

1017921864960 is a `hidden beast` number, since 1 + 0 + 1 + 79 + 2 + 1 + 86 + 496 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1017921864897 and 1017921864906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 472791244 + ... + 472793396.

It is an arithmetic number, because the mean of its divisors is an integer number (2804568312).

Almost surely, 2^{1017921864960} is an apocalyptic number.

1017921864960 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 1017921864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423147021568).

1017921864960 is an abundant number, since it is smaller than the sum of its proper divisors (3828372178176).

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

1017921864960 is a wasteful number, since it uses less digits than its factorization.

1017921864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

It can be divided in two parts, 1017921 and 864960, that added together give a palindrome (1882881).

The spelling of 1017921864960 in words is "one trillion, seventeen billion, nine hundred twenty-one million, eight hundred sixty-four thousand, nine hundred sixty".