54736562160 has 640 divisors, whose sum is σ = 221034424320. Its totient is φ = 12192768000.

The previous prime is 54736562147. The next prime is 54736562171. The reversal of 54736562160 is 6126563745.

54736562160 is a `hidden beast` number, since 5 + 4 + 73 + 6 + 562 + 16 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 111479515 + ... + 111480005.

It is an arithmetic number, because the mean of its divisors is an integer number (345366288).

Almost surely, 2^54736562160 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 54736562160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110517212160).

54736562160 is an abundant number, since it is smaller than the sum of its proper divisors (166297862160).

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

54736562160 is a wasteful number, since it uses less digits than its factorization.

54736562160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 54736562160 in words is "fifty-four billion, seven hundred thirty-six million, five hundred sixty-two thousand, one hundred sixty".