54648135360 has 672 divisors, whose sum is σ = 233588234880. Its totient is φ = 11418402816.

The previous prime is 54648135319. The next prime is 54648135389. The reversal of 54648135360 is 6353184645.

54648135360 is a `hidden beast` number, since 5 + 464 + 81 + 3 + 53 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 28565764 + ... + 28567676.

It is an arithmetic number, because the mean of its divisors is an integer number (347601540).

Almost surely, 2^54648135360 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 54648135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116794117440).

54648135360 is an abundant number, since it is smaller than the sum of its proper divisors (178940099520).

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

54648135360 is a wasteful number, since it uses less digits than its factorization.

54648135360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 54648135360 in words is "fifty-four billion, six hundred forty-eight million, one hundred thirty-five thousand, three hundred sixty".