54855819648 has 256 divisors, whose sum is σ = 189336153600. Its totient is φ = 15308310528.

The previous prime is 54855819631. The next prime is 54855819649. The reversal of 54855819648 is 84691855845.

54855819648 is a `hidden beast` number, since 5 + 4 + 8 + 5 + 581 + 9 + 6 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54855819649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1013890 + ... + 1066622.

It is an arithmetic number, because the mean of its divisors is an integer number (739594350).

Almost surely, 2^54855819648 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 54855819648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94668076800).

54855819648 is an abundant number, since it is smaller than the sum of its proper divisors (134480333952).

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

54855819648 is a wasteful number, since it uses less digits than its factorization.

54855819648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52806 (or 52788 counting only the distinct ones).

The product of its digits is 55296000, while the sum is 63.

It can be divided in two parts, 54855 and 819648, that added together give a triangular number (874503 = T₁₃₂₂).

The spelling of 54855819648 in words is "fifty-four billion, eight hundred fifty-five million, eight hundred nineteen thousand, six hundred forty-eight".