10264858000 has 40 divisors (see below), whose sum is σ = 24820431480. Its totient is φ = 4105942400.

The previous prime is 10264857997. The next prime is 10264858001. The reversal of 10264858000 is 85846201.

It can be written as a sum of positive squares in 4 ways, for example, as 414692496 + 9850165504 = 20364^2 + 99248^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (10264858001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2564215 + ... + 2568214.

It is an arithmetic number, because the mean of its divisors is an integer number (620510787).

Almost surely, 2^10264858000 is an apocalyptic number.

10264858000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10264858000 is an abundant number, since it is smaller than the sum of its proper divisors (14555573480).

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

10264858000 is an equidigital number, since it uses as much as digits as its factorization.

10264858000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5132452 (or 5132436 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The spelling of 10264858000 in words is "ten billion, two hundred sixty-four million, eight hundred fifty-eight thousand".