6575531212800 has 1080 divisors, whose sum is σ = 25876082074752. Its totient is φ = 1582891008000.

The previous prime is 6575531212763. The next prime is 6575531212813. The reversal of 6575531212800 is 82121355756.

6575531212800 is a `hidden beast` number, since 6 + 5 + 7 + 55 + 312 + 1 + 280 + 0 = 666.

It is a super-2 number, since 2×6575531212800² (a number of 26 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 6771916315 + ... + 6771917285.

Almost surely, 2^{6575531212800} is an apocalyptic number.

6575531212800 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 6575531212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12938041037376).

6575531212800 is an abundant number, since it is smaller than the sum of its proper divisors (19300550861952).

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

6575531212800 is a wasteful number, since it uses less digits than its factorization.

6575531212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 6575531212800 in words is "six trillion, five hundred seventy-five billion, five hundred thirty-one million, two hundred twelve thousand, eight hundred".