10720578528 has 192 divisors, whose sum is σ = 34248614400. Its totient is φ = 3235553280.

The previous prime is 10720578523. The next prime is 10720578541. The reversal of 10720578528 is 82587502701.

10720578528 is a `hidden beast` number, since 1 + 0 + 7 + 20 + 578 + 52 + 8 = 666.

It is a super-2 number, since 2×10720578528² (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 (10720578521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2497408 + ... + 2501696.

It is an arithmetic number, because the mean of its divisors is an integer number (178378200).

Almost surely, 2^10720578528 is an apocalyptic number.

10720578528 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 10720578528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17124307200).

10720578528 is an abundant number, since it is smaller than the sum of its proper divisors (23528035872).

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

10720578528 is a wasteful number, since it uses less digits than its factorization.

10720578528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4582 (or 4568 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 10720578528 in words is "ten billion, seven hundred twenty million, five hundred seventy-eight thousand, five hundred twenty-eight".