6525288828864 has 336 divisors, whose sum is σ = 21608614765920. Its totient is φ = 1938545602560.

The previous prime is 6525288828859. The next prime is 6525288828913. The reversal of 6525288828864 is 4688288825256.

6525288828864 is a `hidden beast` number, since 6 + 5 + 2 + 5 + 288 + 8 + 288 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6525288828792 and 6525288828801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5306634 + ... + 6419574.

It is an arithmetic number, because the mean of its divisors is an integer number (64311353470).

Almost surely, 2^{6525288828864} is an apocalyptic number.

6525288828864 is a gapful number since it is divisible by the number (64) 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 6525288828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10804307382960).

6525288828864 is an abundant number, since it is smaller than the sum of its proper divisors (15083325937056).

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

6525288828864 is a wasteful number, since it uses less digits than its factorization.

6525288828864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113010 (or 1112988 counting only the distinct ones).

The product of its digits is 943718400, while the sum is 72.

The spelling of 6525288828864 in words is "six trillion, five hundred twenty-five billion, two hundred eighty-eight million, eight hundred twenty-eight thousand, eight hundred sixty-four".