54328579200 has 768 divisors, whose sum is σ = 230244192000. Its totient is φ = 12406763520.

The previous prime is 54328579189. The next prime is 54328579211. The reversal of 54328579200 is 297582345.

54328579200 is a `hidden beast` number, since 5 + 432 + 8 + 5 + 7 + 9 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (54328579189) and next prime (54328579211).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48988246 + ... + 48989354.

It is an arithmetic number, because the mean of its divisors is an integer number (299797125).

Almost surely, 2^54328579200 is an apocalyptic number.

54328579200 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 54328579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115122096000).

54328579200 is an abundant number, since it is smaller than the sum of its proper divisors (175915612800).

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

54328579200 is an equidigital number, since it uses as much as digits as its factorization.

54328579200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 54328579200 in words is "fifty-four billion, three hundred twenty-eight million, five hundred seventy-nine thousand, two hundred".