6486126101280 has 1344 divisors, whose sum is σ = 27482025731328. Its totient is φ = 1414908518400.

The previous prime is 6486126101251. The next prime is 6486126101311. The reversal of 6486126101280 is 821016216846.

It is a happy number.

6486126101280 is a `hidden beast` number, since 6 + 4 + 8 + 6 + 1 + 2 + 610 + 1 + 28 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1601115255 + ... + 1601119305.

It is an arithmetic number, because the mean of its divisors is an integer number (20447935812).

Almost surely, 2^{6486126101280} is an apocalyptic number.

6486126101280 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 6486126101280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13741012865664).

6486126101280 is an abundant number, since it is smaller than the sum of its proper divisors (20995899630048).

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

6486126101280 is a wasteful number, since it uses less digits than its factorization.

6486126101280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4181 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 6486126101280 in words is "six trillion, four hundred eighty-six billion, one hundred twenty-six million, one hundred one thousand, two hundred eighty".