6253448527872 has 1824 divisors, whose sum is σ = 24768156739200. Its totient is φ = 1541054398464.

The previous prime is 6253448527871. The next prime is 6253448527873. The reversal of 6253448527872 is 2787258443526.

It is a happy number.

6253448527872 is a `hidden beast` number, since 6 + 2 + 5 + 3 + 448 + 52 + 78 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (6253448527871) and next prime (6253448527873).

It is a tau number, because it is divible by the number of its divisors (1824).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6253448527871) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85663678428 + ... + 85663678500.

It is an arithmetic number, because the mean of its divisors is an integer number (13579033300).

Almost surely, 2^{6253448527872} 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 6253448527872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12384078369600).

6253448527872 is an abundant number, since it is smaller than the sum of its proper divisors (18514708211328).

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

6253448527872 is an equidigital number, since it uses as much as digits as its factorization.

6253448527872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 117 counting only the distinct ones).

The product of its digits is 180633600, while the sum is 63.

The spelling of 6253448527872 in words is "six trillion, two hundred fifty-three billion, four hundred forty-eight million, five hundred twenty-seven thousand, eight hundred seventy-two".