54993879415008 has 768 divisors, whose sum is σ = 168561461376000. Its totient is φ = 17429833580544.

The previous prime is 54993879415001. The next prime is 54993879415019. The reversal of 54993879415008 is 80051497839945.

54993879415008 is a `hidden beast` number, since 5 + 4 + 9 + 9 + 3 + 8 + 79 + 41 + 500 + 8 = 666.

It is a super-2 number, since 2×54993879415008² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54993879415001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 88843100523 + ... + 88843101141.

It is an arithmetic number, because the mean of its divisors is an integer number (219481069500).

Almost surely, 2^{54993879415008} 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 54993879415008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84280730688000).

54993879415008 is an abundant number, since it is smaller than the sum of its proper divisors (113567581960992).

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

54993879415008 is a wasteful number, since it uses less digits than its factorization.

54993879415008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 54993879415008 in words is "fifty-four trillion, nine hundred ninety-three billion, eight hundred seventy-nine million, four hundred fifteen thousand, eight".