54950320668672 has 1920 divisors, whose sum is σ = 200501767065600. Its totient is φ = 14269022208000.

The previous prime is 54950320668653. The next prime is 54950320668701. The reversal of 54950320668672 is 27686602305945.

54950320668672 is a `hidden beast` number, since 5 + 4 + 9 + 503 + 2 + 0 + 6 + 68 + 67 + 2 = 666.

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, 773948178397 + ... + 773948178467.

It is an arithmetic number, because the mean of its divisors is an integer number (104428003680).

Almost surely, 2^{54950320668672} is an apocalyptic number.

54950320668672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54950320668672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100250883532800).

54950320668672 is an abundant number, since it is smaller than the sum of its proper divisors (145551446396928).

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

54950320668672 is a wasteful number, since it uses less digits than its factorization.

54950320668672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 54950320668672 in words is "fifty-four trillion, nine hundred fifty billion, three hundred twenty million, six hundred sixty-eight thousand, six hundred seventy-two".