42553193136 has 320 divisors, whose sum is σ = 130620211200. Its totient is φ = 11835445248.

The previous prime is 42553193101. The next prime is 42553193141. The reversal of 42553193136 is 63139135524.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16758555 + ... + 16761093.

It is an arithmetic number, because the mean of its divisors is an integer number (408188160).

Almost surely, 2^42553193136 is an apocalyptic number.

42553193136 is a gapful number since it is divisible by the number (46) 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 42553193136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65310105600).

42553193136 is an abundant number, since it is smaller than the sum of its proper divisors (88067018064).

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

42553193136 is a wasteful number, since it uses less digits than its factorization.

42553193136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 2650 counting only the distinct ones).

The product of its digits is 291600, while the sum is 42.

The spelling of 42553193136 in words is "forty-two billion, five hundred fifty-three million, one hundred ninety-three thousand, one hundred thirty-six".