1026193392672 has 192 divisors, whose sum is σ = 3260365758720. Its totient is φ = 275892535296.

The previous prime is 1026193392613. The next prime is 1026193392701. The reversal of 1026193392672 is 2762933916201.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 31 ways as a sum of consecutive naturals, for example, 96287568 + ... + 96298224.

It is an arithmetic number, because the mean of its divisors is an integer number (16981071660).

Almost surely, 2^{1026193392672} is an apocalyptic number.

1026193392672 is a gapful number since it is divisible by the number (12) 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 1026193392672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630182879360).

1026193392672 is an abundant number, since it is smaller than the sum of its proper divisors (2234172366048).

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

1026193392672 is a wasteful number, since it uses less digits than its factorization.

1026193392672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19123 (or 19115 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The spelling of 1026193392672 in words is "one trillion, twenty-six billion, one hundred ninety-three million, three hundred ninety-two thousand, six hundred seventy-two".