10523214432 has 72 divisors (see below), whose sum is σ = 30416022000. Its totient is φ = 3450228480.

The previous prime is 10523214389. The next prime is 10523214439. The reversal of 10523214432 is 23441232501.

10523214432 is a `hidden beast` number, since 10 + 5 + 2 + 3 + 214 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10523214432² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10523214396 and 10523214405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10523214439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281932 + ... + 317067.

It is an arithmetic number, because the mean of its divisors is an integer number (422444750).

Almost surely, 2^10523214432 is an apocalyptic number.

10523214432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10523214432 is an abundant number, since it is smaller than the sum of its proper divisors (19892807568).

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

10523214432 is a wasteful number, since it uses less digits than its factorization.

10523214432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599076 (or 599065 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10523214432 its reverse (23441232501), we get a palindrome (33964446933).

The spelling of 10523214432 in words is "ten billion, five hundred twenty-three million, two hundred fourteen thousand, four hundred thirty-two".