54908990535168 has 1440 divisors, whose sum is σ = 210275549003520. Its totient is φ = 13464598118400.

The previous prime is 54908990535143. The next prime is 54908990535221. The reversal of 54908990535168 is 86153509980945.

54908990535168 is a `hidden beast` number, since 5 + 4 + 9 + 0 + 89 + 9 + 0 + 535 + 1 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 54908990535096 and 54908990535105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24545814946 + ... + 24545817182.

It is an arithmetic number, because the mean of its divisors is an integer number (146024686808).

Almost surely, 2^{54908990535168} 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 54908990535168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105137774501760).

54908990535168 is an abundant number, since it is smaller than the sum of its proper divisors (155366558468352).

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

54908990535168 is a wasteful number, since it uses less digits than its factorization.

54908990535168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 419904000, while the sum is 72.

The spelling of 54908990535168 in words is "fifty-four trillion, nine hundred eight billion, nine hundred ninety million, five hundred thirty-five thousand, one hundred sixty-eight".