54674904960 has 1024 divisors, whose sum is σ = 224550144000. Its totient is φ = 12453543936.

The previous prime is 54674904929. The next prime is 54674905049. The reversal of 54674904960 is 6940947645.

It is a happy number.

54674904960 is a `hidden beast` number, since 5 + 4 + 67 + 4 + 90 + 496 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 54674904897 and 54674904906.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 393344571 + ... + 393344709.

It is an arithmetic number, because the mean of its divisors is an integer number (219287250).

Almost surely, 2^54674904960 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 54674904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112275072000).

54674904960 is an abundant number, since it is smaller than the sum of its proper divisors (169875239040).

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

54674904960 is a wasteful number, since it uses less digits than its factorization.

54674904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 54674904960 in words is "fifty-four billion, six hundred seventy-four million, nine hundred four thousand, nine hundred sixty".