6250480588800 has 1728 divisors, whose sum is σ = 26904767984640. Its totient is φ = 1355875614720.

The previous prime is 6250480588789. The next prime is 6250480588831. The reversal of 6250480588800 is 88850840526.

It is a happy number.

6250480588800 is a `hidden beast` number, since 6 + 2 + 5 + 0 + 480 + 5 + 88 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12834662157 + ... + 12834662643.

It is an arithmetic number, because the mean of its divisors is an integer number (15569888880).

Almost surely, 2^{6250480588800} is an apocalyptic number.

6250480588800 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 6250480588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13452383992320).

6250480588800 is an abundant number, since it is smaller than the sum of its proper divisors (20654287395840).

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

6250480588800 is a wasteful number, since it uses less digits than its factorization.

6250480588800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 6250480588800 in words is "six trillion, two hundred fifty billion, four hundred eighty million, five hundred eighty-eight thousand, eight hundred".