10239528960 has 312 divisors, whose sum is σ = 36026180424. Its totient is φ = 2689597440.

The previous prime is 10239528931. The next prime is 10239528967. The reversal of 10239528960 is 6982593201.

10239528960 is a `hidden beast` number, since 1 + 0 + 2 + 39 + 528 + 96 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1327104 + 10238201856 = 1152^2 + 101184^2 .

It is a super-3 number, since 3×10239528960³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10239528967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13454980 + ... + 13455740.

It is an arithmetic number, because the mean of its divisors is an integer number (115468527).

Almost surely, 2^10239528960 is an apocalyptic number.

10239528960 is a gapful number since it is divisible by the number (10) 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 10239528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18013090212).

10239528960 is an abundant number, since it is smaller than the sum of its proper divisors (25786651464).

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

10239528960 is an equidigital number, since it uses as much as digits as its factorization.

10239528960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 10239528960 in words is "ten billion, two hundred thirty-nine million, five hundred twenty-eight thousand, nine hundred sixty".