54268820529800 has 108 divisors (see below), whose sum is σ = 126879161274495. Its totient is φ = 21587052840960.

The previous prime is 54268820529751. The next prime is 54268820529821. The reversal of 54268820529800 is 892502886245.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 7197448033636 + 47071372496164 = 2682806^2 + 6860858^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=5209070.

It is a self number, because there is not a number n which added to its sum of digits gives 54268820529800.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20107008851 + ... + 20107011549.

Almost surely, 2^{54268820529800} is an apocalyptic number.

54268820529800 is a gapful number since it is divisible by the number (50) 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 54268820529800

54268820529800 is an abundant number, since it is smaller than the sum of its proper divisors (72610340744695).

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

54268820529800 is an frugal number, since it uses more digits than its factorization.

54268820529800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5800 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 59.

The spelling of 54268820529800 in words is "fifty-four trillion, two hundred sixty-eight billion, eight hundred twenty million, five hundred twenty-nine thousand, eight hundred".