54127733772145 has 48 divisors (see below), whose sum is σ = 72405522604800. Its totient is φ = 38808481712000.

The previous prime is 54127733772139. The next prime is 54127733772169.

54127733772145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54127733772145 - 2⁵ = 54127733772113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 54127733772145.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 779555580 + ... + 779625010.

It is an arithmetic number, because the mean of its divisors is an integer number (1508448387600).

Almost surely, 2^{54127733772145} is an apocalyptic number.

54127733772145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54127733772145 is a deficient number, since it is larger than the sum of its proper divisors (18277788832655).

54127733772145 is a wasteful number, since it uses less digits than its factorization.

54127733772145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87678 (or 87667 counting only the distinct ones).

The product of its digits is 34574400, while the sum is 58.

The spelling of 54127733772145 in words is "fifty-four trillion, one hundred twenty-seven billion, seven hundred thirty-three million, seven hundred seventy-two thousand, one hundred forty-five".