54980633664 has 168 divisors, whose sum is σ = 176565811968. Its totient is φ = 16210437120.

The previous prime is 54980633639. The next prime is 54980633693. The reversal of 54980633664 is 46633608945.

54980633664 is a `hidden beast` number, since 5 + 498 + 0 + 63 + 36 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 54980633664.

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, 117169 + ... + 351695.

It is an arithmetic number, because the mean of its divisors is an integer number (1050986976).

Almost surely, 2^54980633664 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 54980633664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88282905984).

54980633664 is an abundant number, since it is smaller than the sum of its proper divisors (121585178304).

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

54980633664 is a wasteful number, since it uses less digits than its factorization.

54980633664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234593 (or 234580 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 54980633664 in words is "fifty-four billion, nine hundred eighty million, six hundred thirty-three thousand, six hundred sixty-four".