10535115100400 has 60 divisors (see below), whose sum is σ = 27611578951944. Its totient is φ = 3830950944000.

The previous prime is 10535115100397. The next prime is 10535115100423. The reversal of 10535115100400 is 400151153501.

It is a super-2 number, since 2×10535115100400² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10535115100400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1197167771 + ... + 1197176570.

Almost surely, 2^{10535115100400} is an apocalyptic number.

10535115100400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10535115100400 is an abundant number, since it is smaller than the sum of its proper divisors (17076463851544).

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

10535115100400 is a wasteful number, since it uses less digits than its factorization.

10535115100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394344370 (or 2394344359 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 26.

Adding to 10535115100400 its reverse (400151153501), we get a palindrome (10935266253901).

The spelling of 10535115100400 in words is "ten trillion, five hundred thirty-five billion, one hundred fifteen million, one hundred thousand, four hundred".