54919859904 has 672 divisors, whose sum is σ = 203172429824. Its totient is φ = 13795246080.

The previous prime is 54919859899. The next prime is 54919859909. The reversal of 54919859904 is 40995891945.

54919859904 is a `hidden beast` number, since 5 + 491 + 9 + 8 + 59 + 90 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (54919859899) and next prime (54919859909).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (54919859909) 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 95 ways as a sum of consecutive naturals, for example, 118617177 + ... + 118617639.

Almost surely, 2^54919859904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54919859904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101586214912).

54919859904 is an abundant number, since it is smaller than the sum of its proper divisors (148252569920).

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

54919859904 is a wasteful number, since it uses less digits than its factorization.

54919859904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 54919859904 in words is "fifty-four billion, nine hundred nineteen million, eight hundred fifty-nine thousand, nine hundred four".