10541505125200 has 240 divisors, whose sum is σ = 29007234846720. Its totient is φ = 3606339663360.

The previous prime is 10541505125171. The next prime is 10541505125213. The reversal of 10541505125200 is 252150514501.

It is a super-2 number, since 2×10541505125200² (a number of 27 digits) contains 22 as substring.

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, 3379769241 + ... + 3379772359.

It is an arithmetic number, because the mean of its divisors is an integer number (120863478528).

Almost surely, 2^{10541505125200} is an apocalyptic number.

10541505125200 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 10541505125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14503617423360).

10541505125200 is an abundant number, since it is smaller than the sum of its proper divisors (18465729721520).

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

10541505125200 is a wasteful number, since it uses less digits than its factorization.

10541505125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5394 (or 5383 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 31.

Adding to 10541505125200 its reverse (252150514501), we get a palindrome (10793655639701).

The spelling of 10541505125200 in words is "ten trillion, five hundred forty-one billion, five hundred five million, one hundred twenty-five thousand, two hundred".