54312782126399 has 16 divisors (see below), whose sum is σ = 59585798391840. Its totient is φ = 49303365596160.

The previous prime is 54312782126381. The next prime is 54312782126507. The reversal of 54312782126399 is 99362128721345.

It is a cyclic number.

It is not a de Polignac number, because 54312782126399 - 2¹⁶ = 54312782060863 is a prime.

It is a super-3 number, since 3×54312782126399³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54312782126329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510799022 + ... + 510905339.

It is an arithmetic number, because the mean of its divisors is an integer number (3724112399490).

Almost surely, 2^{54312782126399} is an apocalyptic number.

54312782126399 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

54312782126399 is a deficient number, since it is larger than the sum of its proper divisors (5273016265441).

54312782126399 is a wasteful number, since it uses less digits than its factorization.

54312782126399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021704490.

The product of its digits is 39191040, while the sum is 62.

The spelling of 54312782126399 in words is "fifty-four trillion, three hundred twelve billion, seven hundred eighty-two million, one hundred twenty-six thousand, three hundred ninety-nine".