54552004416 has 560 divisors, whose sum is σ = 200377812096. Its totient is φ = 14289924096.

The previous prime is 54552004393. The next prime is 54552004453. The reversal of 54552004416 is 61440025545.

54552004416 is a `hidden beast` number, since 5 + 4 + 5 + 5 + 200 + 441 + 6 = 666.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 92933275 + ... + 92933861.

Almost surely, 2^54552004416 is an apocalyptic number.

54552004416 is a gapful number since it is divisible by the number (56) 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 54552004416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100188906048).

54552004416 is an abundant number, since it is smaller than the sum of its proper divisors (145825807680).

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

54552004416 is a wasteful number, since it uses less digits than its factorization.

54552004416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 54552004416 in words is "fifty-four billion, five hundred fifty-two million, four thousand, four hundred sixteen".