8027956428800 has 720 divisors, whose sum is σ = 24928630298880. Its totient is φ = 2491416576000.

The previous prime is 8027956428731. The next prime is 8027956428809. The reversal of 8027956428800 is 88246597208.

It is a super-2 number, since 2×8027956428800² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8027956428800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8027956428809) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10439474816 + ... + 10439475584.

Almost surely, 2^{8027956428800} is an apocalyptic number.

8027956428800 is a gapful number since it is divisible by the number (80) 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 8027956428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12464315149440).

8027956428800 is an abundant number, since it is smaller than the sum of its proper divisors (16900673870080).

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

8027956428800 is a wasteful number, since it uses less digits than its factorization.

8027956428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 59.

The spelling of 8027956428800 in words is "eight trillion, twenty-seven billion, nine hundred fifty-six million, four hundred twenty-eight thousand, eight hundred".