10473265152 has 144 divisors (see below), whose sum is σ = 34570383120. Its totient is φ = 2992324608.

The previous prime is 10473265151. The next prime is 10473265169. The reversal of 10473265152 is 25156237401.

10473265152 is a `hidden beast` number, since 10 + 473 + 26 + 5 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10473265151) 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, 88438 + ... + 169610.

It is an arithmetic number, because the mean of its divisors is an integer number (240072105).

Almost surely, 2^10473265152 is an apocalyptic number.

10473265152 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 10473265152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17285191560).

10473265152 is an abundant number, since it is smaller than the sum of its proper divisors (24097117968).

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

10473265152 is an equidigital number, since it uses as much as digits as its factorization.

10473265152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81208 (or 81185 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

It can be divided in two parts, 10473 and 265152, that added together give a square (275625 = 525²).

The spelling of 10473265152 in words is "ten billion, four hundred seventy-three million, two hundred sixty-five thousand, one hundred fifty-two".