54511435200 has 336 divisors, whose sum is σ = 191186263296. Its totient is φ = 13564108800.

The previous prime is 54511435163. The next prime is 54511435213. The reversal of 54511435200 is 253411545.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4520379 + ... + 4532421.

It is an arithmetic number, because the mean of its divisors is an integer number (569006736).

Almost surely, 2^54511435200 is an apocalyptic number.

54511435200 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 54511435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95593131648).

54511435200 is an abundant number, since it is smaller than the sum of its proper divisors (136674828096).

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

54511435200 is a wasteful number, since it uses less digits than its factorization.

54511435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12132 (or 12117 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 54511435200 its reverse (253411545), we get a palindrome (54764846745).

The spelling of 54511435200 in words is "fifty-four billion, five hundred eleven million, four hundred thirty-five thousand, two hundred".