10512054400 has 96 divisors (see below), whose sum is σ = 26041726080. Its totient is φ = 4192896000.

The previous prime is 10512054373. The next prime is 10512054409. The reversal of 10512054400 is 445021501.

It is a super-2 number, since 2×10512054400² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10512054409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1169925 + ... + 1178875.

It is an arithmetic number, because the mean of its divisors is an integer number (271267980).

Almost surely, 2^10512054400 is an apocalyptic number.

10512054400 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 10512054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13020863040).

10512054400 is an abundant number, since it is smaller than the sum of its proper divisors (15529671680).

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

10512054400 is an equidigital number, since it uses as much as digits as its factorization.

10512054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9342 (or 9325 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 10512054400 its reverse (445021501), we get a palindrome (10957075901).

The spelling of 10512054400 in words is "ten billion, five hundred twelve million, fifty-four thousand, four hundred".