8428056268800 has 1248 divisors, whose sum is σ = 32923957517568. Its totient is φ = 1862333890560.

The previous prime is 8428056268789. The next prime is 8428056268823. The reversal of 8428056268800 is 88626508248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8319897094 + ... + 8319898106.

It is an arithmetic number, because the mean of its divisors is an integer number (26381376216).

Almost surely, 2^{8428056268800} is an apocalyptic number.

8428056268800 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 8428056268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16461978758784).

8428056268800 is an abundant number, since it is smaller than the sum of its proper divisors (24495901248768).

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

8428056268800 is a wasteful number, since it uses less digits than its factorization.

8428056268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 57.

The spelling of 8428056268800 in words is "eight trillion, four hundred twenty-eight billion, fifty-six million, two hundred sixty-eight thousand, eight hundred".