6255053798400 has 1320 divisors, whose sum is σ = 26368131867264. Its totient is φ = 1450325606400.

The previous prime is 6255053798393. The next prime is 6255053798437. The reversal of 6255053798400 is 48973505526.

6255053798400 is a `hidden beast` number, since 6 + 2 + 5 + 505 + 3 + 7 + 98 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 524614839 + ... + 524626761.

Almost surely, 2^{6255053798400} is an apocalyptic number.

6255053798400 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 6255053798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13184065933632).

6255053798400 is an abundant number, since it is smaller than the sum of its proper divisors (20113078068864).

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

6255053798400 is a wasteful number, since it uses less digits than its factorization.

6255053798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11999 (or 11967 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 6255053798400 in words is "six trillion, two hundred fifty-five billion, fifty-three million, seven hundred ninety-eight thousand, four hundred".