54246528000 has 1188 divisors, whose sum is σ = 234968636916. Its totient is φ = 11999232000.

The previous prime is 54246527981. The next prime is 54246528013. The reversal of 54246528000 is 82564245.

It is a happy number.

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 2 ways, for example, as 1735888896 + 52510639104 = 41664^2 + 229152^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1749887985 + ... + 1749888015.

Almost surely, 2^54246528000 is an apocalyptic number.

54246528000 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 54246528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117484318458).

54246528000 is an abundant number, since it is smaller than the sum of its proper divisors (180722108916).

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

54246528000 is a wasteful number, since it uses less digits than its factorization.

54246528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 54246528000 in words is "fifty-four billion, two hundred forty-six million, five hundred twenty-eight thousand".