54051004800 has 576 divisors, whose sum is σ = 214448357760. Its totient is φ = 12872908800.

The previous prime is 54051004789. The next prime is 54051004823. The reversal of 54051004800 is 840015045.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×54051004800² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11604072 + ... + 11608728.

Almost surely, 2^54051004800 is an apocalyptic number.

54051004800 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 54051004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107224178880).

54051004800 is an abundant number, since it is smaller than the sum of its proper divisors (160397352960).

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

54051004800 is a wasteful number, since it uses less digits than its factorization.

54051004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4731 (or 4711 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 54051004800 its reverse (840015045), we get a palindrome (54891019845).

The spelling of 54051004800 in words is "fifty-four billion, fifty-one million, four thousand, eight hundred".