54821919744 has 616 divisors, whose sum is σ = 178703296512. Its totient is φ = 16751370240.

The previous prime is 54821919739. The next prime is 54821919799. The reversal of 54821919744 is 44791912845.

54821919744 is a `hidden beast` number, since 5 + 482 + 1 + 91 + 9 + 74 + 4 = 666.

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

Its product of digits (2903040) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 532251597 + ... + 532251699.

Almost surely, 2^54821919744 is an apocalyptic number.

54821919744 is a gapful number since it is divisible by the number (54) 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 54821919744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89351648256).

54821919744 is an abundant number, since it is smaller than the sum of its proper divisors (123881376768).

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

54821919744 is a wasteful number, since it uses less digits than its factorization.

54821919744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 162 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 54821919744 in words is "fifty-four billion, eight hundred twenty-one million, nine hundred nineteen thousand, seven hundred forty-four".