54963556560 has 320 divisors, whose sum is σ = 207415296000. Its totient is φ = 13267376640.

The previous prime is 54963556519. The next prime is 54963556567. The reversal of 54963556560 is 6565536945.

54963556560 is a `hidden beast` number, since 5 + 49 + 6 + 35 + 5 + 6 + 560 = 666.

It is a super-3 number, since 3×54963556560³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 54963556497 and 54963556506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54963556567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5673801 + ... + 5683479.

It is an arithmetic number, because the mean of its divisors is an integer number (648172800).

Almost surely, 2^54963556560 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 54963556560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103707648000).

54963556560 is an abundant number, since it is smaller than the sum of its proper divisors (152451739440).

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

54963556560 is a wasteful number, since it uses less digits than its factorization.

54963556560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9951 (or 9939 counting only the distinct ones).

The product of its (nonzero) digits is 14580000, while the sum is 54.

The spelling of 54963556560 in words is "fifty-four billion, nine hundred sixty-three million, five hundred fifty-six thousand, five hundred sixty".