10318258080 has 288 divisors, whose sum is σ = 38947066704. Its totient is φ = 2471067648.

The previous prime is 10318258051. The next prime is 10318258081. The reversal of 10318258080 is 8085281301.

10318258080 is a `hidden beast` number, since 10 + 318 + 258 + 0 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7380184464 + 2938073616 = 85908^2 + 54204^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (10318258081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 685192 + ... + 700088.

Almost surely, 2^10318258080 is an apocalyptic number.

10318258080 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 10318258080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19473533352).

10318258080 is an abundant number, since it is smaller than the sum of its proper divisors (28628808624).

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

10318258080 is a wasteful number, since it uses less digits than its factorization.

10318258080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14968 (or 14957 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 10318258080 in words is "ten billion, three hundred eighteen million, two hundred fifty-eight thousand, eighty".