10535937085440 has 2496 divisors, whose sum is σ = 43208722851840. Its totient is φ = 2354388664320.

The previous prime is 10535937085339. The next prime is 10535937085441. The reversal of 10535937085440 is 4458073953501.

It is a happy number.

10535937085440 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 5 + 93 + 7 + 0 + 8 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-2 number, since 2×10535937085440² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10535937085441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 144327905244 + ... + 144327905316.

It is an arithmetic number, because the mean of its divisors is an integer number (17311187040).

Almost surely, 2^{10535937085440} is an apocalyptic number.

10535937085440 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 10535937085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21604361425920).

10535937085440 is an abundant number, since it is smaller than the sum of its proper divisors (32672785766400).

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

10535937085440 is a wasteful number, since it uses less digits than its factorization.

10535937085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 10535937085440 in words is "ten trillion, five hundred thirty-five billion, nine hundred thirty-seven million, eighty-five thousand, four hundred forty".