54395723612160 has 640 divisors, whose sum is σ = 222875542549440. Its totient is φ = 12433287020544.

The previous prime is 54395723612159. The next prime is 54395723612201. The reversal of 54395723612160 is 6121632759345.

54395723612160 is a `hidden beast` number, since 5 + 4 + 3 + 9 + 5 + 7 + 2 + 3 + 612 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 54395723612097 and 54395723612106.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92604507 + ... + 93190053.

Almost surely, 2^{54395723612160} 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 54395723612160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111437771274720).

54395723612160 is an abundant number, since it is smaller than the sum of its proper divisors (168479818937280).

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

54395723612160 is an frugal number, since it uses more digits than its factorization.

54395723612160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585601 (or 585564 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 54395723612160 in words is "fifty-four trillion, three hundred ninety-five billion, seven hundred twenty-three million, six hundred twelve thousand, one hundred sixty".