10439295552 has 672 divisors, whose sum is σ = 38461696000. Its totient is φ = 2798240256.

The previous prime is 10439295523. The next prime is 10439295563. The reversal of 10439295552 is 25559293401.

10439295552 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 9 + 2 + 95 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 10439295498 and 10439295507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101352333 + ... + 101352435.

Almost surely, 2^10439295552 is an apocalyptic number.

10439295552 is a gapful number since it is divisible by the number (12) 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 10439295552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19230848000).

10439295552 is an abundant number, since it is smaller than the sum of its proper divisors (28022400448).

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

10439295552 is an equidigital number, since it uses as much as digits as its factorization.

10439295552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 10439295552 in words is "ten billion, four hundred thirty-nine million, two hundred ninety-five thousand, five hundred fifty-two".