54191808000 has 640 divisors, whose sum is σ = 218469588480. Its totient is φ = 13132800000.

The previous prime is 54191807959. The next prime is 54191808017. The reversal of 54191808000 is 80819145.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19006575 + ... + 19009425.

It is an arithmetic number, because the mean of its divisors is an integer number (341358732).

Almost surely, 2^54191808000 is an apocalyptic number.

54191808000 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 54191808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109234794240).

54191808000 is an abundant number, since it is smaller than the sum of its proper divisors (164277780480).

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

54191808000 is a wasteful number, since it uses less digits than its factorization.

54191808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 54191808000 in words is "fifty-four billion, one hundred ninety-one million, eight hundred eight thousand".