10527063680 has 256 divisors, whose sum is σ = 30624480000. Its totient is φ = 3377922048.

The previous prime is 10527063671. The next prime is 10527063707. The reversal of 10527063680 is 8636072501.

10527063680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10527063680² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21096071 + ... + 21096569.

It is an arithmetic number, because the mean of its divisors is an integer number (119626875).

Almost surely, 2^10527063680 is an apocalyptic number.

10527063680 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 10527063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15312240000).

10527063680 is an abundant number, since it is smaller than the sum of its proper divisors (20097416320).

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

10527063680 is a wasteful number, since it uses less digits than its factorization.

10527063680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 10527063680 in words is "ten billion, five hundred twenty-seven million, sixty-three thousand, six hundred eighty".