42753222235724 has 192 divisors, whose sum is σ = 102630511226880. Its totient is φ = 15043059486720.

The previous prime is 42753222235699. The next prime is 42753222235739.

42753222235724 is nontrivially palindromic in base 10.

42753222235724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42753222235724² (a number of 28 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 524815604 + ... + 524897060.

It is an arithmetic number, because the mean of its divisors is an integer number (534533912640).

Almost surely, 2^{42753222235724} is an apocalyptic number.

42753222235724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42753222235724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51315255613440).

42753222235724 is an abundant number, since it is smaller than the sum of its proper divisors (59877288991156).

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

42753222235724 is a wasteful number, since it uses less digits than its factorization.

42753222235724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84328 (or 84326 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 50.

The spelling of 42753222235724 in words is "forty-two trillion, seven hundred fifty-three billion, two hundred twenty-two million, two hundred thirty-five thousand, seven hundred twenty-four".