10209820068 has 192 divisors, whose sum is σ = 31211192320. Its totient is φ = 2825673984.

The previous prime is 10209820051. The next prime is 10209820081. The reversal of 10209820068 is 86002890201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4127280 + ... + 4129752.

Almost surely, 2^10209820068 is an apocalyptic number.

10209820068 is a gapful number since it is divisible by the number (18) 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 10209820068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15605596160).

10209820068 is an abundant number, since it is smaller than the sum of its proper divisors (21001372252).

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

10209820068 is a wasteful number, since it uses less digits than its factorization.

10209820068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2663 (or 2655 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10209820068 in words is "ten billion, two hundred nine million, eight hundred twenty thousand, sixty-eight".