54758522585745 has 192 divisors, whose sum is σ = 110994695884800. Its totient is φ = 24702379384320.

The previous prime is 54758522585729. The next prime is 54758522585803.

54758522585745 is a `hidden beast` number, since 5 + 4 + 7 + 5 + 8 + 522 + 5 + 8 + 57 + 45 = 666.

54758522585745 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54758522585745 - 2⁴ = 54758522585729 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1827767076 + ... + 1827797034.

It is an arithmetic number, because the mean of its divisors is an integer number (578097374400).

Almost surely, 2^{54758522585745} is an apocalyptic number.

54758522585745 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54758522585745 is an abundant number, since it is smaller than the sum of its proper divisors (56236173299055).

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

54758522585745 is a wasteful number, since it uses less digits than its factorization.

54758522585745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34380 (or 34377 counting only the distinct ones).

The product of its digits is 3136000000, while the sum is 72.

The spelling of 54758522585745 in words is "fifty-four trillion, seven hundred fifty-eight billion, five hundred twenty-two million, five hundred eighty-five thousand, seven hundred forty-five".