42519405598560 has 288 divisors, whose sum is σ = 159534521782272. Its totient is φ = 10226570941440.

The previous prime is 42519405598541. The next prime is 42519405598589. The reversal of 42519405598560 is 6589550491524.

42519405598560 is a `hidden beast` number, since 4 + 2 + 5 + 19 + 4 + 0 + 5 + 59 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8556454 + ... + 12579813.

It is an arithmetic number, because the mean of its divisors is an integer number (553939311744).

Almost surely, 2^{42519405598560} is an apocalyptic number.

42519405598560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42519405598560 is an abundant number, since it is smaller than the sum of its proper divisors (117015116183712).

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

42519405598560 is a wasteful number, since it uses less digits than its factorization.

42519405598560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21136426 (or 21136415 counting only the distinct ones).

The product of its (nonzero) digits is 77760000, while the sum is 63.

The spelling of 42519405598560 in words is "forty-two trillion, five hundred nineteen billion, four hundred five million, five hundred ninety-eight thousand, five hundred sixty".