54485464320 has 288 divisors, whose sum is σ = 220969808640. Its totient is φ = 12453765120.

The previous prime is 54485464289. The next prime is 54485464339. The reversal of 54485464320 is 2346458445.

54485464320 is a `hidden beast` number, since 5 + 4 + 48 + 546 + 43 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 129310 + ... + 354530.

It is an arithmetic number, because the mean of its divisors is an integer number (767256280).

Almost surely, 2^54485464320 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 54485464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110484904320).

54485464320 is an abundant number, since it is smaller than the sum of its proper divisors (166484344320).

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

54485464320 is a wasteful number, since it uses less digits than its factorization.

54485464320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225258 (or 225238 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 54485464320 in words is "fifty-four billion, four hundred eighty-five million, four hundred sixty-four thousand, three hundred twenty".