54175639680 has 384 divisors, whose sum is σ = 194711961600. Its totient is φ = 13864919040.

The previous prime is 54175639663. The next prime is 54175639691. The reversal of 54175639680 is 8693657145.

54175639680 is a `hidden beast` number, since 5 + 4 + 17 + 563 + 9 + 68 + 0 = 666.

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

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, 22675926 + ... + 22678314.

It is an arithmetic number, because the mean of its divisors is an integer number (507062400).

Almost surely, 2^54175639680 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 54175639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97355980800).

54175639680 is an abundant number, since it is smaller than the sum of its proper divisors (140536321920).

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

54175639680 is a wasteful number, since it uses less digits than its factorization.

54175639680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 54175639680 in words is "fifty-four billion, one hundred seventy-five million, six hundred thirty-nine thousand, six hundred eighty".