24553122135542 has 64 divisors (see below), whose sum is σ = 49451572445184. Its totient is φ = 8829949415040.

The previous prime is 24553122135497. The next prime is 24553122135557.

24553122135542 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24553122135493 and 24553122135502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54222923 + ... + 54673865.

It is an arithmetic number, because the mean of its divisors is an integer number (772680819456).

Almost surely, 2^{24553122135542} is an apocalyptic number.

24553122135542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24553122135542 is an abundant number, since it is smaller than the sum of its proper divisors (24898450309642).

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

24553122135542 is a wasteful number, since it uses less digits than its factorization.

24553122135542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478173.

The product of its digits is 1440000, while the sum is 44.

The spelling of 24553122135542 in words is "twenty-four trillion, five hundred fifty-three billion, one hundred twenty-two million, one hundred thirty-five thousand, five hundred forty-two".