10264567400 has 96 divisors (see below), whose sum is σ = 24781059000. Its totient is φ = 3949317120.

The previous prime is 10264567361. The next prime is 10264567403. The reversal of 10264567400 is 476546201.

10264567400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 793774276 + 9470793124 = 28174^2 + 97318^2 .

It is a super-5 number, since 5×10264567400⁵ (a number of 51 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10264567403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1603406 + ... + 1609794.

Almost surely, 2^10264567400 is an apocalyptic number.

10264567400 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 10264567400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12390529500).

10264567400 is an abundant number, since it is smaller than the sum of its proper divisors (14516491600).

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

10264567400 is a wasteful number, since it uses less digits than its factorization.

10264567400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6711 (or 6702 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 10264567400 in words is "ten billion, two hundred sixty-four million, five hundred sixty-seven thousand, four hundred".