1026116992960 has 224 divisors, whose sum is σ = 2583670118400. Its totient is φ = 387634360320.

The previous prime is 1026116992951. The next prime is 1026116992961. The reversal of 1026116992960 is 692996116201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1026116992898 and 1026116992907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026116992961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81347614 + ... + 81360226.

It is an arithmetic number, because the mean of its divisors is an integer number (11534241600).

Almost surely, 2^{1026116992960} is an apocalyptic number.

1026116992960 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 1026116992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291835059200).

1026116992960 is an abundant number, since it is smaller than the sum of its proper divisors (1557553125440).

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

1026116992960 is a wasteful number, since it uses less digits than its factorization.

1026116992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12859 (or 12849 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 52.

The spelling of 1026116992960 in words is "one trillion, twenty-six billion, one hundred sixteen million, nine hundred ninety-two thousand, nine hundred sixty".