54475787938176 has 384 divisors, whose sum is σ = 182818264860000. Its totient is φ = 15938575994880.

The previous prime is 54475787938171. The next prime is 54475787938181. The reversal of 54475787938176 is 67183978757445.

54475787938176 is a `hidden beast` number, since 5 + 4 + 4 + 7 + 578 + 7 + 9 + 38 + 1 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (54475787938171) and next prime (54475787938181).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×54475787938176² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54475787938095 and 54475787938104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54475787938171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9881070 + ... + 14373138.

Almost surely, 2^{54475787938176} 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 54475787938176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91409132430000).

54475787938176 is an abundant number, since it is smaller than the sum of its proper divisors (128342476921824).

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

54475787938176 is a wasteful number, since it uses less digits than its factorization.

54475787938176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4492143 (or 4492114 counting only the distinct ones).

The product of its digits is 9957427200, while the sum is 81.

The spelling of 54475787938176 in words is "fifty-four trillion, four hundred seventy-five billion, seven hundred eighty-seven million, nine hundred thirty-eight thousand, one hundred seventy-six".