10115435520 has 220 divisors, whose sum is σ = 36249487824. Its totient is φ = 2697338880.

The previous prime is 10115435459. The next prime is 10115435537. The reversal of 10115435520 is 2553451101.

10115435520 is a `hidden beast` number, since 101 + 1 + 5 + 4 + 3 + 552 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 402525 + ... + 426915.

Almost surely, 2^10115435520 is an apocalyptic number.

10115435520 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 10115435520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18124743912).

10115435520 is an abundant number, since it is smaller than the sum of its proper divisors (26134052304).

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

10115435520 is an equidigital number, since it uses as much as digits as its factorization.

10115435520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24428 (or 24401 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 10115435520 its reverse (2553451101), we get a palindrome (12668886621).

The spelling of 10115435520 in words is "ten billion, one hundred fifteen million, four hundred thirty-five thousand, five hundred twenty".