54776102224896 has 1760 divisors, whose sum is σ = 196011740187648. Its totient is φ = 15065284608000.

The previous prime is 54776102224861. The next prime is 54776102224897. The reversal of 54776102224896 is 69842220167745.

54776102224896 is a `hidden beast` number, since 5 + 4 + 7 + 7 + 610 + 2 + 2 + 2 + 4 + 8 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (54776102224897) 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 159 ways as a sum of consecutive naturals, for example, 72937552521 + ... + 72937553271.

Almost surely, 2^{54776102224896} 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 54776102224896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98005870093824).

54776102224896 is an abundant number, since it is smaller than the sum of its proper divisors (141235637962752).

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

54776102224896 is a wasteful number, since it uses less digits than its factorization.

54776102224896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 54776102224896 in words is "fifty-four trillion, seven hundred seventy-six billion, one hundred two million, two hundred twenty-four thousand, eight hundred ninety-six".