54478639800 has 480 divisors, whose sum is σ = 205119684000. Its totient is φ = 13321221120.

The previous prime is 54478639781. The next prime is 54478639811. The reversal of 54478639800 is 893687445.

54478639800 is a `hidden beast` number, since 544 + 7 + 8 + 6 + 3 + 98 + 0 + 0 = 666.

54478639800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 35169426 + ... + 35170974.

It is an arithmetic number, because the mean of its divisors is an integer number (427332675).

Almost surely, 2^54478639800 is an apocalyptic number.

54478639800 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 54478639800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102559842000).

54478639800 is an abundant number, since it is smaller than the sum of its proper divisors (150641044200).

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

54478639800 is a wasteful number, since it uses less digits than its factorization.

54478639800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 54478639800 in words is "fifty-four billion, four hundred seventy-eight million, six hundred thirty-nine thousand, eight hundred".