6812522010000 has 2400 divisors, whose sum is σ = 30152480117760. Its totient is φ = 1453987584000.

The previous prime is 6812522009999. The next prime is 6812522010053. The reversal of 6812522010000 is 102252186.

It is a happy number.

It is a super-2 number, since 2×6812522010000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 479 ways as a sum of consecutive naturals, for example, 34581329902 + ... + 34581330098.

Almost surely, 2^{6812522010000} is an apocalyptic number.

6812522010000 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 6812522010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15076240058880).

6812522010000 is an abundant number, since it is smaller than the sum of its proper divisors (23339958107760).

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

6812522010000 is a wasteful number, since it uses less digits than its factorization.

6812522010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 6812522010000 its reverse (102252186), we get a palindrome (6812624262186).

The spelling of 6812522010000 in words is "six trillion, eight hundred twelve billion, five hundred twenty-two million, ten thousand".