10026800000 has 192 divisors, whose sum is σ = 28542235680. Its totient is φ = 3436800000.

The previous prime is 10026799973. The next prime is 10026800009. The reversal of 10026800000 is 862001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10026800009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2798210 + ... + 2801790.

Almost surely, 2^10026800000 is an apocalyptic number.

10026800000 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 10026800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14271117840).

10026800000 is an abundant number, since it is smaller than the sum of its proper divisors (18515435680).

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

10026800000 is an frugal number, since it uses more digits than its factorization.

10026800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3627 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The spelling of 10026800000 in words is "ten billion, twenty-six million, eight hundred thousand".