54425419776 has 576 divisors, whose sum is σ = 199648108800. Its totient is φ = 14353956864.

The previous prime is 54425419759. The next prime is 54425419799. The reversal of 54425419776 is 67791452445.

54425419776 is a `hidden beast` number, since 5 + 4 + 4 + 2 + 541 + 97 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

Its product of digits (8467200) is a multiple of the sum of its prime divisors (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4186570746 + ... + 4186570758.

It is an arithmetic number, because the mean of its divisors is an integer number (346611300).

Almost surely, 2^54425419776 is an apocalyptic number.

54425419776 is a gapful number since it is divisible by the number (56) 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 54425419776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99824054400).

54425419776 is an abundant number, since it is smaller than the sum of its proper divisors (145222689024).

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

54425419776 is an frugal number, since it uses more digits than its factorization.

54425419776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 25 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 54425419776 in words is "fifty-four billion, four hundred twenty-five million, four hundred nineteen thousand, seven hundred seventy-six".