54117719400 has 192 divisors, whose sum is σ = 171169044480. Its totient is φ = 14141075200.

The previous prime is 54117719389. The next prime is 54117719413. The reversal of 54117719400 is 491771145.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7110397 + ... + 7118003.

It is an arithmetic number, because the mean of its divisors is an integer number (891505440).

Almost surely, 2^54117719400 is an apocalyptic number.

54117719400 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 54117719400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85584522240).

54117719400 is an abundant number, since it is smaller than the sum of its proper divisors (117051325080).

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

54117719400 is a wasteful number, since it uses less digits than its factorization.

54117719400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7864 (or 7855 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The spelling of 54117719400 in words is "fifty-four billion, one hundred seventeen million, seven hundred nineteen thousand, four hundred".