6528638013456 has 640 divisors, whose sum is σ = 20410693632000. Its totient is φ = 1778706597888.

The previous prime is 6528638013413. The next prime is 6528638013529. The reversal of 6528638013456 is 6543108368256.

It is a super-2 number, since 2×6528638013456² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 6528638013396 and 6528638013405.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2879856835 + ... + 2879859101.

It is an arithmetic number, because the mean of its divisors is an integer number (31891708800).

Almost surely, 2^{6528638013456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6528638013456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10205346816000).

6528638013456 is an abundant number, since it is smaller than the sum of its proper divisors (13882055618544).

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

6528638013456 is a wasteful number, since it uses less digits than its factorization.

6528638013456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2571 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 57.

The spelling of 6528638013456 in words is "six trillion, five hundred twenty-eight billion, six hundred thirty-eight million, thirteen thousand, four hundred fifty-six".