6251268960000 has 450 divisors, whose sum is σ = 23292783385872. Its totient is φ = 1667001600000.

The previous prime is 6251268959867. The next prime is 6251268960011. The reversal of 6251268960000 is 698621526.

6251268960000 is a `hidden beast` number, since 6 + 25 + 12 + 6 + 8 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (450).

It is a super-3 number, since 3×6251268960000³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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 49 ways as a sum of consecutive naturals, for example, 12718825 + ... + 13201175.

Almost surely, 2^{6251268960000} is an apocalyptic number.

6251268960000 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 6251268960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11646391692936).

6251268960000 is an abundant number, since it is smaller than the sum of its proper divisors (17041514425872).

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

6251268960000 is an frugal number, since it uses more digits than its factorization.

6251268960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482399 (or 482361 counting only the distinct ones).

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

The spelling of 6251268960000 in words is "six trillion, two hundred fifty-one billion, two hundred sixty-eight million, nine hundred sixty thousand".