10500062544400 has 675 divisors, whose sum is σ = 30342147237495. Its totient is φ = 3490278105600.

The previous prime is 10500062544331. The next prime is 10500062544407. The reversal of 10500062544400 is 444526000501.

It is a happy number.

The square root of 10500062544400 is 3240380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2706406653456 + 7793655890944 = 1645116^2 + 2791712^2 .

It is a super-2 number, since 2×10500062544400² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10500062544407) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 101942354749 + ... + 101942354851.

Almost surely, 2^{10500062544400} is an apocalyptic number.

10500062544400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10500062544400 is the 3240380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10500062544400

10500062544400 is an abundant number, since it is smaller than the sum of its proper divisors (19842084693095).

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

10500062544400 is an equidigital number, since it uses as much as digits as its factorization.

10500062544400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 10500062544400 its reverse (444526000501), we get a palindrome (10944588544901).

The spelling of 10500062544400 in words is "ten trillion, five hundred billion, sixty-two million, five hundred forty-four thousand, four hundred".