6252110032896 has 2184 divisors, whose sum is σ = 24862180961520. Its totient is φ = 1553093885952.

The previous prime is 6252110032873. The next prime is 6252110032897. The reversal of 6252110032896 is 6982300112526.

6252110032896 is a `hidden beast` number, since 6 + 2 + 521 + 1 + 0 + 0 + 32 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (2184).

It is not an unprimeable number, because it can be changed into a prime (6252110032897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 36139364266 + ... + 36139364438.

Almost surely, 2^{6252110032896} 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 6252110032896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12431090480760).

6252110032896 is an abundant number, since it is smaller than the sum of its proper divisors (18610070928624).

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

6252110032896 is a wasteful number, since it uses less digits than its factorization.

6252110032896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 6252110032896 in words is "six trillion, two hundred fifty-two billion, one hundred ten million, thirty-two thousand, eight hundred ninety-six".