54112701670200 has 72 divisors (see below), whose sum is σ = 181728489781800. Its totient is φ = 14430053778240.

The previous prime is 54112701670187. The next prime is 54112701670207. The reversal of 54112701670200 is 207610721145.

54112701670200 is a `hidden beast` number, since 5 + 411 + 27 + 0 + 16 + 7 + 0 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54112701670207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15031304220 + ... + 15031307819.

It is an arithmetic number, because the mean of its divisors is an integer number (2524006802525).

Almost surely, 2^{54112701670200} is an apocalyptic number.

54112701670200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54112701670200 is an abundant number, since it is smaller than the sum of its proper divisors (127615788111600).

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

54112701670200 is a wasteful number, since it uses less digits than its factorization.

54112701670200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30062612061 (or 30062612049 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 54112701670200 in words is "fifty-four trillion, one hundred twelve billion, seven hundred one million, six hundred seventy thousand, two hundred".