54701256960 has 1440 divisors, whose sum is σ = 243604247040. Its totient is φ = 11444944896.

The previous prime is 54701256923. The next prime is 54701256971. The reversal of 54701256960 is 6965210745.

54701256960 is a `hidden beast` number, since 5 + 4 + 70 + 12 + 569 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 484081864 + ... + 484081976.

It is an arithmetic number, because the mean of its divisors is an integer number (169169616).

Almost surely, 2^54701256960 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 54701256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121802123520).

54701256960 is an abundant number, since it is smaller than the sum of its proper divisors (188902990080).

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

54701256960 is a wasteful number, since it uses less digits than its factorization.

54701256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 54701256960 in words is "fifty-four billion, seven hundred one million, two hundred fifty-six thousand, nine hundred sixty".