10286714880 has 728 divisors, whose sum is σ = 40609732968. Its totient is φ = 2484338688.

The previous prime is 10286714873. The next prime is 10286714881. The reversal of 10286714880 is 8841768201.

10286714880 is a `hidden beast` number, since 102 + 8 + 67 + 1 + 488 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 585252864 + 9701462016 = 24192^2 + 98496^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10286714881) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 194088934 + ... + 194088986.

Almost surely, 2^10286714880 is an apocalyptic number.

10286714880 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 10286714880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20304866484).

10286714880 is an abundant number, since it is smaller than the sum of its proper divisors (30323018088).

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

10286714880 is an frugal number, since it uses more digits than its factorization.

10286714880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 10286714880 in words is "ten billion, two hundred eighty-six million, seven hundred fourteen thousand, eight hundred eighty".