54415964160 has 192 divisors, whose sum is σ = 193432730400. Its totient is φ = 14510850048.

The previous prime is 54415964129. The next prime is 54415964171. The reversal of 54415964160 is 6146951445.

54415964160 is a `hidden beast` number, since 5 + 4 + 41 + 596 + 4 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×54415964160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178072 + ... + 374888.

Almost surely, 2^54415964160 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 54415964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96716365200).

54415964160 is an abundant number, since it is smaller than the sum of its proper divisors (139016766240).

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

54415964160 is a wasteful number, since it uses less digits than its factorization.

54415964160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196853 (or 196827 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 54415964160 in words is "fifty-four billion, four hundred fifteen million, nine hundred sixty-four thousand, one hundred sixty".