54610344360 has 480 divisors, whose sum is σ = 210512320200. Its totient is φ = 12205163520.

The previous prime is 54610344311. The next prime is 54610344433. The reversal of 54610344360 is 6344301645.

54610344360 is a `hidden beast` number, since 5 + 4 + 610 + 3 + 4 + 4 + 36 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33737607684 + 20872736676 = 183678^2 + 144474^2 .

It is a super-2 number, since 2×54610344360² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68519482 + ... + 68520278.

Almost surely, 2^54610344360 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 54610344360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105256160100).

54610344360 is an abundant number, since it is smaller than the sum of its proper divisors (155901975840).

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

54610344360 is a wasteful number, since it uses less digits than its factorization.

54610344360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 54610344360 in words is "fifty-four billion, six hundred ten million, three hundred forty-four thousand, three hundred sixty".