53429977992435 has 256 divisors, whose sum is σ = 101347787520000. Its totient is φ = 23754338795520.

The previous prime is 53429977992421. The next prime is 53429977992449.

53429977992435 is nontrivially palindromic in base 10.

53429977992435 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 (53429977992421) and next prime (53429977992449).

It is not a de Polignac number, because 53429977992435 - 2¹⁴ = 53429977976051 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 255 ways as a sum of consecutive naturals, for example, 20605466499 + ... + 20605469091.

It is an arithmetic number, because the mean of its divisors is an integer number (395889795000).

Almost surely, 2^{53429977992435} is an apocalyptic number.

53429977992435 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53429977992435 is a deficient number, since it is larger than the sum of its proper divisors (47917809527565).

53429977992435 is a wasteful number, since it uses less digits than its factorization.

53429977992435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3526.

The product of its digits is 4629441600, while the sum is 78.

The spelling of 53429977992435 in words is "fifty-three trillion, four hundred twenty-nine billion, nine hundred seventy-seven million, nine hundred ninety-two thousand, four hundred thirty-five".