1026776919168 has 2304 divisors, whose sum is σ = 4400994816000. Its totient is φ = 228766187520.

The previous prime is 1026776919109. The next prime is 1026776919221. The reversal of 1026776919168 is 8619196776201.

It is a super-2 number, since 2×1026776919168² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12997176153 + ... + 12997176231.

It is an arithmetic number, because the mean of its divisors is an integer number (1910154000).

Almost surely, 2^{1026776919168} is an apocalyptic number.

1026776919168 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 1026776919168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200497408000).

1026776919168 is an abundant number, since it is smaller than the sum of its proper divisors (3374217896832).

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

1026776919168 is a wasteful number, since it uses less digits than its factorization.

1026776919168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 1026776919168 in words is "one trillion, twenty-six billion, seven hundred seventy-six million, nine hundred nineteen thousand, one hundred sixty-eight".