54354378960 has 720 divisors, whose sum is σ = 221938451280. Its totient is φ = 11875368960.

The previous prime is 54354378931. The next prime is 54354378961. The reversal of 54354378960 is 6987345345.

54354378960 is a `hidden beast` number, since 5 + 4 + 3 + 543 + 7 + 8 + 96 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10042444944 + 44311934016 = 100212^2 + 210504^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 54354378897 and 54354378906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54354378961) 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, 76663086 + ... + 76663794.

It is an arithmetic number, because the mean of its divisors is an integer number (308247849).

Almost surely, 2^54354378960 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 54354378960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110969225640).

54354378960 is an abundant number, since it is smaller than the sum of its proper divisors (167584072320).

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

54354378960 is a wasteful number, since it uses less digits than its factorization.

54354378960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 54354378960 in words is "fifty-four billion, three hundred fifty-four million, three hundred seventy-eight thousand, nine hundred sixty".