54457878528 has 288 divisors, whose sum is σ = 165454380000. Its totient is φ = 17892016128.

The previous prime is 54457878493. The next prime is 54457878571. The reversal of 54457878528 is 82587875445.

54457878528 is a `hidden beast` number, since 5 + 4 + 4 + 578 + 7 + 8 + 52 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36328723 + ... + 36330221.

It is an arithmetic number, because the mean of its divisors is an integer number (574494375).

Almost surely, 2^54457878528 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 54457878528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82727190000).

54457878528 is an abundant number, since it is smaller than the sum of its proper divisors (110996501472).

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

54457878528 is an equidigital number, since it uses as much as digits as its factorization.

54457878528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1577 counting only the distinct ones).

The product of its digits is 100352000, while the sum is 63.

The spelling of 54457878528 in words is "fifty-four billion, four hundred fifty-seven million, eight hundred seventy-eight thousand, five hundred twenty-eight".