54486718200 has 384 divisors, whose sum is σ = 193180492800. Its totient is φ = 14110018560.

The previous prime is 54486718177. The next prime is 54486718249. The reversal of 54486718200 is 281768445.

54486718200 is a `hidden beast` number, since 544 + 86 + 7 + 1 + 8 + 20 + 0 = 666.

It is a super-2 number, since 2×54486718200² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

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, 26410369 + ... + 26412431.

It is an arithmetic number, because the mean of its divisors is an integer number (503074200).

Almost surely, 2^54486718200 is an apocalyptic number.

54486718200 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 54486718200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96590246400).

54486718200 is an abundant number, since it is smaller than the sum of its proper divisors (138693774600).

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

54486718200 is a wasteful number, since it uses less digits than its factorization.

54486718200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 54486718200 in words is "fifty-four billion, four hundred eighty-six million, seven hundred eighteen thousand, two hundred".