10504445030400 has 624 divisors, whose sum is σ = 36969467516928. Its totient is φ = 2622357504000.

The previous prime is 10504445030389. The next prime is 10504445030411. The reversal of 10504445030400 is 403054440501.

It is an interprime number because it is at equal distance from previous prime (10504445030389) and next prime (10504445030411).

It is a super-2 number, since 2×10504445030400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 997473135 + ... + 997483665.

Almost surely, 2^{10504445030400} is an apocalyptic number.

10504445030400 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 10504445030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18484733758464).

10504445030400 is an abundant number, since it is smaller than the sum of its proper divisors (26465022486528).

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

10504445030400 is a wasteful number, since it uses less digits than its factorization.

10504445030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10776 (or 10749 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 10504445030400 its reverse (403054440501), we get a palindrome (10907499470901).

The spelling of 10504445030400 in words is "ten trillion, five hundred four billion, four hundred forty-five million, thirty thousand, four hundred".