54820557792 has 288 divisors, whose sum is σ = 209315957760. Its totient is φ = 13143720960.

The previous prime is 54820557767. The next prime is 54820557877. The reversal of 54820557792 is 29775502845.

54820557792 is a `hidden beast` number, since 5 + 4 + 82 + 0 + 557 + 7 + 9 + 2 = 666.

54820557792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193209 + ... + 383367.

It is an arithmetic number, because the mean of its divisors is an integer number (726791520).

Almost surely, 2^54820557792 is an apocalyptic number.

54820557792 is a gapful number since it is divisible by the number (52) 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 54820557792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104657978880).

54820557792 is an abundant number, since it is smaller than the sum of its proper divisors (154495399968).

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

54820557792 is a wasteful number, since it uses less digits than its factorization.

54820557792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190206 (or 190195 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 54820557792 in words is "fifty-four billion, eight hundred twenty million, five hundred fifty-seven thousand, seven hundred ninety-two".