54367948800 has 936 divisors, whose sum is σ = 220557811968. Its totient is φ = 12681216000.

The previous prime is 54367948783. The next prime is 54367948813. The reversal of 54367948800 is 884976345.

54367948800 is a `hidden beast` number, since 543 + 6 + 7 + 94 + 8 + 8 + 0 + 0 = 666.

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, 314265514 + ... + 314265686.

It is an arithmetic number, because the mean of its divisors is an integer number (235638688).

Almost surely, 2^54367948800 is an apocalyptic number.

54367948800 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 54367948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110278905984).

54367948800 is an abundant number, since it is smaller than the sum of its proper divisors (166189863168).

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

54367948800 is a wasteful number, since it uses less digits than its factorization.

54367948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 225 counting only the distinct ones).

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

The spelling of 54367948800 in words is "fifty-four billion, three hundred sixty-seven million, nine hundred forty-eight thousand, eight hundred".