54187322112 has 1152 divisors, whose sum is σ = 217431889920. Its totient is φ = 12881756160.

The previous prime is 54187322107. The next prime is 54187322131. The reversal of 54187322112 is 21122378145.

54187322112 is a `hidden beast` number, since 5 + 418 + 7 + 3 + 221 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 479533768 + ... + 479533880.

It is an arithmetic number, because the mean of its divisors is an integer number (188742960).

Almost surely, 2^54187322112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54187322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108715944960).

54187322112 is an abundant number, since it is smaller than the sum of its proper divisors (163244567808).

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

54187322112 is a wasteful number, since it uses less digits than its factorization.

54187322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 206 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The spelling of 54187322112 in words is "fifty-four billion, one hundred eighty-seven million, three hundred twenty-two thousand, one hundred twelve".