54005767200 has 1152 divisors, whose sum is σ = 256483584000. Its totient is φ = 10625126400.

The previous prime is 54005767199. The next prime is 54005767201. The reversal of 54005767200 is 276750045.

54005767200 is a `hidden beast` number, since 540 + 0 + 57 + 67 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54005767199) and next prime (54005767201).

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

It is not an unprimeable number, because it can be changed into a prime (54005767201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31599946 + ... + 31601654.

It is an arithmetic number, because the mean of its divisors is an integer number (222642000).

Almost surely, 2^54005767200 is an apocalyptic number.

54005767200 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 54005767200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128241792000).

54005767200 is an abundant number, since it is smaller than the sum of its proper divisors (202477816800).

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

54005767200 is a wasteful number, since it uses less digits than its factorization.

54005767200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 54005767200 in words is "fifty-four billion, five million, seven hundred sixty-seven thousand, two hundred".