10405612536 has 128 divisors (see below), whose sum is σ = 28987372800. Its totient is φ = 3085921280.

The previous prime is 10405612531. The next prime is 10405612573. The reversal of 10405612536 is 63521650401.

10405612536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 10405612497 and 10405612506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10405612531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7960795 + ... + 7962101.

It is an arithmetic number, because the mean of its divisors is an integer number (226463850).

Almost surely, 2^10405612536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10405612536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14493686400).

10405612536 is an abundant number, since it is smaller than the sum of its proper divisors (18581760264).

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

10405612536 is a wasteful number, since it uses less digits than its factorization.

10405612536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 10405612536 in words is "ten billion, four hundred five million, six hundred twelve thousand, five hundred thirty-six".