10505334400 has 192 divisors, whose sum is σ = 28514916000. Its totient is φ = 3792588800.

The previous prime is 10505334397. The next prime is 10505334431. The reversal of 10505334400 is 443350501.

It is a super-2 number, since 2×10505334400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5243799 + ... + 5245801.

Almost surely, 2^10505334400 is an apocalyptic number.

10505334400 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 10505334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14257458000).

10505334400 is an abundant number, since it is smaller than the sum of its proper divisors (18009581600).

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

10505334400 is a wasteful number, since it uses less digits than its factorization.

10505334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 10505334400 its reverse (443350501), we get a palindrome (10948684901).

The spelling of 10505334400 in words is "ten billion, five hundred five million, three hundred thirty-four thousand, four hundred".