42864285269520 has 720 divisors, whose sum is σ = 170136677430720. Its totient is φ = 9587024179200.

The previous prime is 42864285269503. The next prime is 42864285269543. The reversal of 42864285269520 is 2596258246824.

It is a happy number.

42864285269520 is a `hidden beast` number, since 4 + 2 + 8 + 6 + 4 + 2 + 85 + 26 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2972756871 + ... + 2972771289.

It is an arithmetic number, because the mean of its divisors is an integer number (236300940876).

Almost surely, 2^{42864285269520} is an apocalyptic number.

42864285269520 is a gapful number since it is divisible by the number (40) 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 42864285269520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85068338715360).

42864285269520 is an abundant number, since it is smaller than the sum of its proper divisors (127272392161200).

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

42864285269520 is a wasteful number, since it uses less digits than its factorization.

42864285269520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16696 (or 16674 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 42864285269520 in words is "forty-two trillion, eight hundred sixty-four billion, two hundred eighty-five million, two hundred sixty-nine thousand, five hundred twenty".