54606504960 has 1056 divisors, whose sum is σ = 230205161472. Its totient is φ = 11705057280.

The previous prime is 54606504943. The next prime is 54606504977. The reversal of 54606504960 is 6940560645.

54606504960 is a `hidden beast` number, since 54 + 6 + 0 + 6 + 504 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54606504943) and next prime (54606504977).

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 95 ways as a sum of consecutive naturals, for example, 429972417 + ... + 429972543.

It is an arithmetic number, because the mean of its divisors is an integer number (217997312).

Almost surely, 2^54606504960 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 54606504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115102580736).

54606504960 is an abundant number, since it is smaller than the sum of its proper divisors (175598656512).

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

54606504960 is a wasteful number, since it uses less digits than its factorization.

54606504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 54606504960 in words is "fifty-four billion, six hundred six million, five hundred four thousand, nine hundred sixty".