6252971212800 has 2880 divisors, whose sum is σ = 27085653073920. Its totient is φ = 1401421824000.

The previous prime is 6252971212723. The next prime is 6252971212841. The reversal of 6252971212800 is 82121792526.

6252971212800 is a `hidden beast` number, since 62 + 5 + 297 + 1 + 21 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 102507724770 + ... + 102507724830.

Almost surely, 2^{6252971212800} is an apocalyptic number.

6252971212800 is a gapful number since it is divisible by the number (60) 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 6252971212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13542826536960).

6252971212800 is an abundant number, since it is smaller than the sum of its proper divisors (20832681861120).

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

6252971212800 is a wasteful number, since it uses less digits than its factorization.

6252971212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 6252971212800 in words is "six trillion, two hundred fifty-two billion, nine hundred seventy-one million, two hundred twelve thousand, eight hundred".