1026239935680 has 336 divisors, whose sum is σ = 3764388569760. Its totient is φ = 255711412224.

The previous prime is 1026239935621. The next prime is 1026239935711. The reversal of 1026239935680 is 865399326201.

1026239935680 is a `hidden beast` number, since 1 + 0 + 2 + 623 + 9 + 9 + 3 + 5 + 6 + 8 + 0 = 666.

1026239935680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6730042 + ... + 6880838.

It is an arithmetic number, because the mean of its divisors is an integer number (11203537410).

Almost surely, 2^{1026239935680} is an apocalyptic number.

1026239935680 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 1026239935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882194284880).

1026239935680 is an abundant number, since it is smaller than the sum of its proper divisors (2738148634080).

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

1026239935680 is a wasteful number, since it uses less digits than its factorization.

1026239935680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150976 (or 150963 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 1026239935680 in words is "one trillion, twenty-six billion, two hundred thirty-nine million, nine hundred thirty-five thousand, six hundred eighty".