54712291200 has 192 divisors, whose sum is σ = 205952949120. Its totient is φ = 12505651200.

The previous prime is 54712291159. The next prime is 54712291211. The reversal of 54712291200 is 219221745.

54712291200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×54712291200³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339886 + ... + 474285.

It is an arithmetic number, because the mean of its divisors is an integer number (1072671610).

Almost surely, 2^54712291200 is an apocalyptic number.

54712291200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54712291200 is an abundant number, since it is smaller than the sum of its proper divisors (151240657920).

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

54712291200 is a wasteful number, since it uses less digits than its factorization.

54712291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814205 (or 814188 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 54712291200 in words is "fifty-four billion, seven hundred twelve million, two hundred ninety-one thousand, two hundred".