10534410624 has 64 divisors (see below), whose sum is σ = 28138536000. Its totient is φ = 3491830272.

The previous prime is 10534410617. The next prime is 10534410629. The reversal of 10534410624 is 42601443501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10534410624² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10534410591 and 10534410600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10534410629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7894 + ... + 145365.

It is an arithmetic number, because the mean of its divisors is an integer number (439664625).

Almost surely, 2^10534410624 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 10534410624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14069268000).

10534410624 is an abundant number, since it is smaller than the sum of its proper divisors (17604125376).

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

10534410624 is a wasteful number, since it uses less digits than its factorization.

10534410624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153455 (or 153443 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 10534410624 in words is "ten billion, five hundred thirty-four million, four hundred ten thousand, six hundred twenty-four".