54786788768745 has 192 divisors, whose sum is σ = 111631208832000. Its totient is φ = 24569880491520.

The previous prime is 54786788768681. The next prime is 54786788768809.

54786788768745 is a `hidden beast` number, since 5 + 478 + 6 + 7 + 8 + 8 + 7 + 68 + 74 + 5 = 666.

54786788768745 is nontrivially palindromic in base 10.

54786788768745 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54786788768681) and next prime (54786788768809).

It is not a de Polignac number, because 54786788768745 - 2⁶ = 54786788768681 is a prime.

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 191 ways as a sum of consecutive naturals, for example, 1030827262 + ... + 1030880408.

It is an arithmetic number, because the mean of its divisors is an integer number (581412546000).

Almost surely, 2^{54786788768745} is an apocalyptic number.

54786788768745 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54786788768745 is an abundant number, since it is smaller than the sum of its proper divisors (56844420063255).

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

54786788768745 is a wasteful number, since it uses less digits than its factorization.

54786788768745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55780 (or 55777 counting only the distinct ones).

The product of its digits is 141616742400, while the sum is 90.

The spelling of 54786788768745 in words is "fifty-four trillion, seven hundred eighty-six billion, seven hundred eighty-eight million, seven hundred sixty-eight thousand, seven hundred forty-five".