6585166022400 has 1944 divisors, whose sum is σ = 29520867876864. Its totient is φ = 1370190643200.

The previous prime is 6585166022387. The next prime is 6585166022443. The reversal of 6585166022400 is 42206615856.

6585166022400 is a `hidden beast` number, since 6 + 5 + 8 + 5 + 16 + 602 + 24 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3612267889 + ... + 3612269711.

Almost surely, 2^{6585166022400} is an apocalyptic number.

6585166022400 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 6585166022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14760433938432).

6585166022400 is an abundant number, since it is smaller than the sum of its proper divisors (22935701854464).

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

6585166022400 is a wasteful number, since it uses less digits than its factorization.

6585166022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 6585166022400 in words is "six trillion, five hundred eighty-five billion, one hundred sixty-six million, twenty-two thousand, four hundred".