6125258880000 has 2200 divisors, whose sum is σ = 25186349819400. Its totient is φ = 1473085440000.

The previous prime is 6125258879983. The next prime is 6125258880031. The reversal of 6125258880000 is 888525216.

6125258880000 is a `hidden beast` number, since 6 + 12 + 52 + 588 + 8 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 4135398810624 + 1989860069376 = 2033568^2 + 1410624^2 .

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 polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 41109119926 + ... + 41109120074.

It is an arithmetic number, because the mean of its divisors is an integer number (11448340827).

Almost surely, 2^{6125258880000} is an apocalyptic number.

6125258880000 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 6125258880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12593174909700).

6125258880000 is an abundant number, since it is smaller than the sum of its proper divisors (19061090939400).

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

6125258880000 is a wasteful number, since it uses less digits than its factorization.

6125258880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 6125258880000 in words is "six trillion, one hundred twenty-five billion, two hundred fifty-eight million, eight hundred eighty thousand".