54996664320 has 768 divisors, whose sum is σ = 217555228800. Its totient is φ = 12740198400.

The previous prime is 54996664313. The next prime is 54996664343. The reversal of 54996664320 is 2346669945.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×54996664320² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364216245 + ... + 364216395.

Almost surely, 2^54996664320 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 54996664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108777614400).

54996664320 is an abundant number, since it is smaller than the sum of its proper divisors (162558564480).

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

54996664320 is a wasteful number, since it uses less digits than its factorization.

54996664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 54996664320 in words is "fifty-four billion, nine hundred ninety-six million, six hundred sixty-four thousand, three hundred twenty".