10205850720 has 768 divisors, whose sum is σ = 39504568320. Its totient is φ = 2188640256.

The previous prime is 10205850701. The next prime is 10205850763. The reversal of 10205850720 is 2705850201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114672436 + ... + 114672524.

It is an arithmetic number, because the mean of its divisors is an integer number (51438240).

Almost surely, 2^10205850720 is an apocalyptic number.

10205850720 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 10205850720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19752284160).

10205850720 is an abundant number, since it is smaller than the sum of its proper divisors (29298717600).

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

10205850720 is a wasteful number, since it uses less digits than its factorization.

10205850720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The spelling of 10205850720 in words is "ten billion, two hundred five million, eight hundred fifty thousand, seven hundred twenty".