1053095638968 has 160 divisors (see below), whose sum is σ = 2964802500000. Its totient is φ = 349230735360.

The previous prime is 1053095638939. The next prime is 1053095639009. The reversal of 1053095638968 is 8698365903501.

1053095638968 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 0 + 9 + 563 + 8 + 9 + 68 = 666.

It is a super-2 number, since 2×1053095638968² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 195051133 + ... + 195056531.

It is an arithmetic number, because the mean of its divisors is an integer number (18530015625).

Almost surely, 2^{1053095638968} is an apocalyptic number.

1053095638968 is a gapful number since it is divisible by the number (18) 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 1053095638968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482401250000).

1053095638968 is an abundant number, since it is smaller than the sum of its proper divisors (1911706861032).

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

1053095638968 is a wasteful number, since it uses less digits than its factorization.

1053095638968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6907 (or 6894 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 1053095638968 in words is "one trillion, fifty-three billion, ninety-five million, six hundred thirty-eight thousand, nine hundred sixty-eight".