42656959278900 has 108 divisors (see below), whose sum is σ = 138657938330912. Its totient is φ = 11375189134560.

The previous prime is 42656959278889. The next prime is 42656959278977. The reversal of 42656959278900 is 987295965624.

42656959278900 is a `hidden beast` number, since 4 + 2 + 6 + 569 + 59 + 2 + 7 + 8 + 9 + 0 + 0 = 666.

42656959278900 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (108).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 877690912 + ... + 877739511.

Almost surely, 2^{42656959278900} is an apocalyptic number.

It is an amenable number.

42656959278900 is an abundant number, since it is smaller than the sum of its proper divisors (96000979052012).

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

42656959278900 is a wasteful number, since it uses less digits than its factorization.

42656959278900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755430452 (or 1755430433 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 42656959278900 in words is "forty-two trillion, six hundred fifty-six billion, nine hundred fifty-nine million, two hundred seventy-eight thousand, nine hundred".