54132019200 has 624 divisors, whose sum is σ = 227350706560. Its totient is φ = 12368609280.

The previous prime is 54132019171. The next prime is 54132019223. The reversal of 54132019200 is 291023145.

54132019200 is a `hidden beast` number, since 541 + 32 + 0 + 1 + 92 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19352202 + ... + 19354998.

Almost surely, 2^54132019200 is an apocalyptic number.

54132019200 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 54132019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113675353280).

54132019200 is an abundant number, since it is smaller than the sum of its proper divisors (173218687360).

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

54132019200 is a wasteful number, since it uses less digits than its factorization.

54132019200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2847 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 54132019200 in words is "fifty-four billion, one hundred thirty-two million, nineteen thousand, two hundred".