54975674880 has 480 divisors, whose sum is σ = 220706373888. Its totient is φ = 12386304000.

The previous prime is 54975674869. The next prime is 54975674903. The reversal of 54975674880 is 8847657945.

54975674880 is a `hidden beast` number, since 5 + 4 + 97 + 5 + 67 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×54975674880² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11448480 + ... + 11453280.

Almost surely, 2^54975674880 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 54975674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110353186944).

54975674880 is an abundant number, since it is smaller than the sum of its proper divisors (165730699008).

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

54975674880 is a wasteful number, since it uses less digits than its factorization.

54975674880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4908 (or 4889 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 54975674880 in words is "fifty-four billion, nine hundred seventy-five million, six hundred seventy-four thousand, eight hundred eighty".