54738552960 has 768 divisors, whose sum is σ = 246363586560. Its totient is φ = 10868097024.

The previous prime is 54738552959. The next prime is 54738552989. The reversal of 54738552960 is 6925583745.

54738552960 is a `hidden beast` number, since 5 + 473 + 85 + 5 + 2 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54738552897 and 54738552906.

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, 8907649 + ... + 8913791.

It is an arithmetic number, because the mean of its divisors is an integer number (320785920).

Almost surely, 2^54738552960 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 54738552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123181793280).

54738552960 is an abundant number, since it is smaller than the sum of its proper divisors (191625033600).

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

54738552960 is a wasteful number, since it uses less digits than its factorization.

54738552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6205 (or 6190 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 54738552960 in words is "fifty-four billion, seven hundred thirty-eight million, five hundred fifty-two thousand, nine hundred sixty".