54767558479680 has 560 divisors, whose sum is σ = 208888956587520. Its totient is φ = 13571579953152.

The previous prime is 54767558479633. The next prime is 54767558479691. The reversal of 54767558479680 is 8697485576745.

54767558479680 is a `hidden beast` number, since 5 + 4 + 7 + 67 + 5 + 5 + 8 + 479 + 6 + 80 = 666.

54767558479680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54767558479680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34023909 + ... + 35597211.

Almost surely, 2^{54767558479680} 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 54767558479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104444478293760).

54767558479680 is an abundant number, since it is smaller than the sum of its proper divisors (154121398107840).

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

54767558479680 is a wasteful number, since it uses less digits than its factorization.

54767558479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573428 (or 1573409 counting only the distinct ones).

The product of its (nonzero) digits is 14224896000, while the sum is 81.

The spelling of 54767558479680 in words is "fifty-four trillion, seven hundred sixty-seven billion, five hundred fifty-eight million, four hundred seventy-nine thousand, six hundred eighty".