10585435340400 has 120 divisors (see below), whose sum is σ = 34029350409264. Its totient is φ = 2812737177600.

The previous prime is 10585435340383. The next prime is 10585435340407. The reversal of 10585435340400 is 404353458501.

10585435340400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10585435340400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10585435340407) 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, 15358879 + ... + 16033278.

Almost surely, 2^{10585435340400} is an apocalyptic number.

10585435340400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10585435340400 is an abundant number, since it is smaller than the sum of its proper divisors (23443915068864).

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

10585435340400 is a wasteful number, since it uses less digits than its factorization.

10585435340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31392459 (or 31392448 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

Adding to 10585435340400 its reverse (404353458501), we get a palindrome (10989788798901).

The spelling of 10585435340400 in words is "ten trillion, five hundred eighty-five billion, four hundred thirty-five million, three hundred forty thousand, four hundred".