54751282560 has 1152 divisors, whose sum is σ = 227657757600. Its totient is φ = 12469469184.

The previous prime is 54751282559. The next prime is 54751282567. The reversal of 54751282560 is 6528215745.

54751282560 is a `hidden beast` number, since 5 + 4 + 7 + 5 + 1 + 2 + 82 + 560 = 666.

54751282560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54751282567) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 927987811 + ... + 927987869.

Almost surely, 2^54751282560 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 54751282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113828878800).

54751282560 is an abundant number, since it is smaller than the sum of its proper divisors (172906475040).

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

54751282560 is an equidigital number, since it uses as much as digits as its factorization.

54751282560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 54751282560 in words is "fifty-four billion, seven hundred fifty-one million, two hundred eighty-two thousand, five hundred sixty".