10503505110400 has 96 divisors (see below), whose sum is σ = 25959247966080. Its totient is φ = 4199409100800.

The previous prime is 10503505110361. The next prime is 10503505110409. The reversal of 10503505110400 is 401150530501.

It is a happy number.

It is a super-2 number, since 2×10503505110400² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10503505110409) 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, 5977762 + ... + 7532638.

It is an arithmetic number, because the mean of its divisors is an integer number (270408832980).

Almost surely, 2^{10503505110400} is an apocalyptic number.

10503505110400 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 10503505110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12979623983040).

10503505110400 is an abundant number, since it is smaller than the sum of its proper divisors (15455742855680).

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

10503505110400 is a wasteful number, since it uses less digits than its factorization.

10503505110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557012 (or 1556995 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

Adding to 10503505110400 its reverse (401150530501), we get a palindrome (10904655640901).

The spelling of 10503505110400 in words is "ten trillion, five hundred three billion, five hundred five million, one hundred ten thousand, four hundred".