10205836680 has 128 divisors (see below), whose sum is σ = 33045667200. Its totient is φ = 2506647552.

The previous prime is 10205836637. The next prime is 10205836699. The reversal of 10205836680 is 8663850201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 721516 + ... + 735524.

It is an arithmetic number, because the mean of its divisors is an integer number (258169275).

Almost surely, 2^10205836680 is an apocalyptic number.

10205836680 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 10205836680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16522833600).

10205836680 is an abundant number, since it is smaller than the sum of its proper divisors (22839830520).

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

10205836680 is a wasteful number, since it uses less digits than its factorization.

10205836680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14503 (or 14499 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 10205836680 in words is "ten billion, two hundred five million, eight hundred thirty-six thousand, six hundred eighty".