10535400524000 has 192 divisors, whose sum is σ = 28701641352384. Its totient is φ = 3768249600000.

The previous prime is 10535400523993. The next prime is 10535400524021. The reversal of 10535400524000 is 42500453501.

It is a super-2 number, since 2×10535400524000² (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 31 ways as a sum of consecutive naturals, for example, 721370 + ... + 4646630.

It is an arithmetic number, because the mean of its divisors is an integer number (149487715377).

Almost surely, 2^{10535400524000} is an apocalyptic number.

10535400524000 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 10535400524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14350820676192).

10535400524000 is an abundant number, since it is smaller than the sum of its proper divisors (18166240828384).

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

10535400524000 is a wasteful number, since it uses less digits than its factorization.

10535400524000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3925358 (or 3925340 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

Adding to 10535400524000 its reverse (42500453501), we get a palindrome (10577900977501).

The spelling of 10535400524000 in words is "ten trillion, five hundred thirty-five billion, four hundred million, five hundred twenty-four thousand".