54155989800 has 768 divisors, whose sum is σ = 214448774400. Its totient is φ = 12441600000.

The previous prime is 54155989777. The next prime is 54155989801. The reversal of 54155989800 is 898955145.

54155989800 is a `hidden beast` number, since 5 + 4 + 1 + 559 + 8 + 9 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (54155989801) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 90109500 + ... + 90110100.

It is an arithmetic number, because the mean of its divisors is an integer number (279230175).

Almost surely, 2^54155989800 is an apocalyptic number.

54155989800 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 54155989800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107224387200).

54155989800 is an abundant number, since it is smaller than the sum of its proper divisors (160292784600).

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

54155989800 is a wasteful number, since it uses less digits than its factorization.

54155989800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 54155989800 in words is "fifty-four billion, one hundred fifty-five million, nine hundred eighty-nine thousand, eight hundred".