10491078528 has 320 divisors, whose sum is σ = 36840376320. Its totient is φ = 2900136960.

The previous prime is 10491078463. The next prime is 10491078529. The reversal of 10491078528 is 82587019401.

10491078528 is a `hidden beast` number, since 1 + 0 + 49 + 10 + 78 + 528 = 666.

It is a super-2 number, since 2×10491078528² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10491078529) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2247525 + ... + 2252187.

It is an arithmetic number, because the mean of its divisors is an integer number (115126176).

Almost surely, 2^10491078528 is an apocalyptic number.

10491078528 is a gapful number since it is divisible by the number (18) 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 10491078528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18420188160).

10491078528 is an abundant number, since it is smaller than the sum of its proper divisors (26349297792).

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

10491078528 is an equidigital number, since it uses as much as digits as its factorization.

10491078528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4727 (or 4706 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 10491078528 in words is "ten billion, four hundred ninety-one million, seventy-eight thousand, five hundred twenty-eight".