1026402006500 has 96 divisors (see below), whose sum is σ = 2415083580000. Its totient is φ = 378824409600.

The previous prime is 1026402006499. The next prime is 1026402006529. The reversal of 1026402006500 is 56002046201.

It can be written as a sum of positive squares in 16 ways, for example, as 612716348644 + 413685657856 = 782762^2 + 643184^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1026402006500.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16537526 + ... + 16599474.

It is an arithmetic number, because the mean of its divisors is an integer number (25157120625).

Almost surely, 2^{1026402006500} is an apocalyptic number.

1026402006500 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 1026402006500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207541790000).

1026402006500 is an abundant number, since it is smaller than the sum of its proper divisors (1388681573500).

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

1026402006500 is a wasteful number, since it uses less digits than its factorization.

1026402006500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64530 (or 64518 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 1026402006500 in words is "one trillion, twenty-six billion, four hundred two million, six thousand, five hundred".