1010955665664 has 720 divisors, whose sum is σ = 3503342481408. Its totient is φ = 284014854144.

The previous prime is 1010955665641. The next prime is 1010955665683. The reversal of 1010955665664 is 4665665590101.

1010955665664 is a `hidden beast` number, since 1 + 0 + 10 + 9 + 5 + 5 + 66 + 566 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1010955665664.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3189134434 + ... + 3189134750.

Almost surely, 2^{1010955665664} is an apocalyptic number.

1010955665664 is a gapful number since it is divisible by the number (14) 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 1010955665664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751671240704).

1010955665664 is an abundant number, since it is smaller than the sum of its proper divisors (2492386815744).

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

1010955665664 is a wasteful number, since it uses less digits than its factorization.

1010955665664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 1010955665664 in words is "one trillion, ten billion, nine hundred fifty-five million, six hundred sixty-five thousand, six hundred sixty-four".