6812071125552 has 320 divisors, whose sum is σ = 24393280158720. Its totient is φ = 1768258252800.

The previous prime is 6812071125473. The next prime is 6812071125571. The reversal of 6812071125552 is 2555211702186.

It is a happy number.

6812071125552 is a `hidden beast` number, since 6 + 8 + 1 + 2 + 0 + 71 + 1 + 25 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6812071125498 and 6812071125507.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53591352 + ... + 53718312.

It is an arithmetic number, because the mean of its divisors is an integer number (76229000496).

Almost surely, 2^{6812071125552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6812071125552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12196640079360).

6812071125552 is an abundant number, since it is smaller than the sum of its proper divisors (17581209033168).

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

6812071125552 is a wasteful number, since it uses less digits than its factorization.

6812071125552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128609 (or 128597 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 6812071125552 in words is "six trillion, eight hundred twelve billion, seventy-one million, one hundred twenty-five thousand, five hundred fifty-two".