1017812664960 has 768 divisors, whose sum is σ = 4073641891200. Its totient is φ = 214252093440.

The previous prime is 1017812664929. The next prime is 1017812664983. The reversal of 1017812664960 is 694662187101.

It is a super-3 number, since 3×1017812664960³ (a number of 37 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 808428811 + ... + 808430069.

Almost surely, 2^{1017812664960} is an apocalyptic number.

1017812664960 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 1017812664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036820945600).

1017812664960 is an abundant number, since it is smaller than the sum of its proper divisors (3055829226240).

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

1017812664960 is a wasteful number, since it uses less digits than its factorization.

1017812664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 1017812664960 in words is "one trillion, seventeen billion, eight hundred twelve million, six hundred sixty-four thousand, nine hundred sixty".