6126087905280 has 2240 divisors, whose sum is σ = 26502625492992. Its totient is φ = 1324343623680.

The previous prime is 6126087905263. The next prime is 6126087905291. The reversal of 6126087905280 is 825097806216.

6126087905280 is a `hidden beast` number, since 6 + 1 + 2 + 608 + 7 + 9 + 0 + 5 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 48236912577 + ... + 48236912703.

Almost surely, 2^{6126087905280} is an apocalyptic number.

6126087905280 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 6126087905280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13251312746496).

6126087905280 is an abundant number, since it is smaller than the sum of its proper divisors (20376537587712).

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

6126087905280 is a wasteful number, since it uses less digits than its factorization.

6126087905280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 6126087905280 in words is "six trillion, one hundred twenty-six billion, eighty-seven million, nine hundred five thousand, two hundred eighty".