6528022198272 has 192 divisors, whose sum is σ = 19343799820800. Its totient is φ = 2175305932800.

The previous prime is 6528022198219. The next prime is 6528022198279. The reversal of 6528022198272 is 2728912208256.

6528022198272 is a `hidden beast` number, since 6 + 5 + 280 + 2 + 2 + 1 + 98 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×6528022198272² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6528022198279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188376147 + ... + 188410797.

It is an arithmetic number, because the mean of its divisors is an integer number (100748957400).

Almost surely, 2^{6528022198272} 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 6528022198272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9671899910400).

6528022198272 is an abundant number, since it is smaller than the sum of its proper divisors (12815777622528).

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

6528022198272 is a wasteful number, since it uses less digits than its factorization.

6528022198272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38089 (or 38063 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 6528022198272 in words is "six trillion, five hundred twenty-eight billion, twenty-two million, one hundred ninety-eight thousand, two hundred seventy-two".