10504510223200 has 144 divisors (see below), whose sum is σ = 29338743387744. Its totient is φ = 3597717196800.

The previous prime is 10504510223183. The next prime is 10504510223203. The reversal of 10504510223200 is 232201540501.

It is a super-2 number, since 2×10504510223200² (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 (10504510223203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4272892 + ... + 6266308.

It is an arithmetic number, because the mean of its divisors is an integer number (203741273526).

Almost surely, 2^{10504510223200} is an apocalyptic number.

10504510223200 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 10504510223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14669371693872).

10504510223200 is an abundant number, since it is smaller than the sum of its proper divisors (18834233164544).

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

10504510223200 is a wasteful number, since it uses less digits than its factorization.

10504510223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994385 (or 1994372 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 10504510223200 its reverse (232201540501), we get a palindrome (10736711763701).

The spelling of 10504510223200 in words is "ten trillion, five hundred four billion, five hundred ten million, two hundred twenty-three thousand, two hundred".