1026517032096 has 96 divisors (see below), whose sum is σ = 2731972279680. Its totient is φ = 337429131264.

The previous prime is 1026517032089. The next prime is 1026517032113. The reversal of 1026517032096 is 6902307156201.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78756396 + ... + 78769428.

It is an arithmetic number, because the mean of its divisors is an integer number (28458044580).

Almost surely, 2^{1026517032096} is an apocalyptic number.

1026517032096 is a gapful number since it is divisible by the number (16) 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 1026517032096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365986139840).

1026517032096 is an abundant number, since it is smaller than the sum of its proper divisors (1705455247584).

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

1026517032096 is a wasteful number, since it uses less digits than its factorization.

1026517032096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24358 (or 24350 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 1026517032096 in words is "one trillion, twenty-six billion, five hundred seventeen million, thirty-two thousand, ninety-six".