54993476468736 has 2160 divisors, whose sum is σ = 195023836425600. Its totient is φ = 15362386034688.

The previous prime is 54993476468719. The next prime is 54993476468761. The reversal of 54993476468736 is 63786467439945.

54993476468736 is a `hidden beast` number, since 5 + 4 + 99 + 34 + 7 + 6 + 468 + 7 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

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 143 ways as a sum of consecutive naturals, for example, 932092821475 + ... + 932092821533.

It is an arithmetic number, because the mean of its divisors is an integer number (90288813160).

Almost surely, 2^{54993476468736} 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 54993476468736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97511918212800).

54993476468736 is an abundant number, since it is smaller than the sum of its proper divisors (140030359956864).

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

54993476468736 is an frugal number, since it uses more digits than its factorization.

54993476468736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 129 counting only the distinct ones).

The product of its digits is 19752284160, while the sum is 81.

The spelling of 54993476468736 in words is "fifty-four trillion, nine hundred ninety-three billion, four hundred seventy-six million, four hundred sixty-eight thousand, seven hundred thirty-six".