1093405126968 has 864 divisors, whose sum is σ = 3991991552640. Its totient is φ = 274442256000.

The previous prime is 1093405126967. The next prime is 1093405127063. The reversal of 1093405126968 is 8696215043901.

1093405126968 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 4 + 0 + 512 + 69 + 68 = 666.

It is a super-3 number, since 3×1093405126968³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1093405126967) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1582351503 + ... + 1582352193.

Almost surely, 2^{1093405126968} is an apocalyptic number.

1093405126968 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 1093405126968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995995776320).

1093405126968 is an abundant number, since it is smaller than the sum of its proper divisors (2898586425672).

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

1093405126968 is a wasteful number, since it uses less digits than its factorization.

1093405126968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 1093405126968 in words is "one trillion, ninety-three billion, four hundred five million, one hundred twenty-six thousand, nine hundred sixty-eight".