54825816408 has 128 divisors (see below), whose sum is σ = 159723083520. Its totient is φ = 15498076160.

The previous prime is 54825816371. The next prime is 54825816469. The reversal of 54825816408 is 80461852845.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453091 + ... + 561197.

It is an arithmetic number, because the mean of its divisors is an integer number (1247836590).

Almost surely, 2^54825816408 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 54825816408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79861541760).

54825816408 is an abundant number, since it is smaller than the sum of its proper divisors (104897267112).

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

54825816408 is a wasteful number, since it uses less digits than its factorization.

54825816408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108257 (or 108253 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 51.

The spelling of 54825816408 in words is "fifty-four billion, eight hundred twenty-five million, eight hundred sixteen thousand, four hundred eight".