54592828416 has 440 divisors, whose sum is σ = 197309445696. Its totient is φ = 14677770240.

The previous prime is 54592828397. The next prime is 54592828417. The reversal of 54592828416 is 61482829545.

54592828416 is a `hidden beast` number, since 5 + 4 + 592 + 8 + 2 + 8 + 41 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54592828417) 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 39 ways as a sum of consecutive naturals, for example, 9867571 + ... + 9873101.

Almost surely, 2^54592828416 is an apocalyptic number.

54592828416 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 54592828416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98654722848).

54592828416 is an abundant number, since it is smaller than the sum of its proper divisors (142716617280).

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

54592828416 is a wasteful number, since it uses less digits than its factorization.

54592828416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5587 (or 5560 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 54592828416 in words is "fifty-four billion, five hundred ninety-two million, eight hundred twenty-eight thousand, four hundred sixteen".