10537664032 has 72 divisors (see below), whose sum is σ = 24347109276. Its totient is φ = 4476100608.

The previous prime is 10537664029. The next prime is 10537664063. The reversal of 10537664032 is 23046673501.

10537664032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9975215376 + 562448656 = 99876^2 + 23716^2 .

It is a super-2 number, since 2×10537664032² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10537663982 and 10537664000.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 147448 + ... + 206920.

Almost surely, 2^10537664032 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 10537664032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12173554638).

10537664032 is an abundant number, since it is smaller than the sum of its proper divisors (13809445244).

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

10537664032 is a wasteful number, since it uses less digits than its factorization.

10537664032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59610 (or 59595 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The spelling of 10537664032 in words is "ten billion, five hundred thirty-seven million, six hundred sixty-four thousand, thirty-two".