10205585280 has 480 divisors, whose sum is σ = 40085088120. Its totient is φ = 2472560640.

The previous prime is 10205585279. The next prime is 10205585281. The reversal of 10205585280 is 8258550201.

10205585280 is a `hidden beast` number, since 1 + 0 + 20 + 558 + 5 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (10205585279) and next prime (10205585281).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205585281) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6271827 + ... + 6273453.

Almost surely, 2^10205585280 is an apocalyptic number.

10205585280 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 10205585280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20042544060).

10205585280 is an abundant number, since it is smaller than the sum of its proper divisors (29879502840).

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

10205585280 is a wasteful number, since it uses less digits than its factorization.

10205585280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The spelling of 10205585280 in words is "ten billion, two hundred five million, five hundred eighty-five thousand, two hundred eighty".