6255460209600 has 504 divisors, whose sum is σ = 25661201842848. Its totient is φ = 1415660544000.

The previous prime is 6255460209577. The next prime is 6255460209613. The reversal of 6255460209600 is 69020645526.

It is a happy number.

6255460209600 is a `hidden beast` number, since 6 + 2 + 554 + 6 + 0 + 2 + 0 + 96 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 71 ways as a sum of consecutive naturals, for example, 9873582 + ... + 10488018.

Almost surely, 2^{6255460209600} is an apocalyptic number.

6255460209600 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 6255460209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12830600921424).

6255460209600 is an abundant number, since it is smaller than the sum of its proper divisors (19405741633248).

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

6255460209600 is a wasteful number, since it uses less digits than its factorization.

6255460209600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614573 (or 614555 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 6255460209600 in words is "six trillion, two hundred fifty-five billion, four hundred sixty million, two hundred nine thousand, six hundred".