42865756217856 has 960 divisors, whose sum is σ = 149123189255040. Its totient is φ = 11679399936000.

The previous prime is 42865756217797. The next prime is 42865756217881. The reversal of 42865756217856 is 65871265756824.

42865756217856 is a `hidden beast` number, since 4 + 2 + 8 + 6 + 5 + 7 + 562 + 1 + 7 + 8 + 56 = 666.

42865756217856 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42865756217856² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33203528571 + ... + 33203529861.

It is an arithmetic number, because the mean of its divisors is an integer number (155336655474).

Almost surely, 2^{42865756217856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42865756217856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74561594627520).

42865756217856 is an abundant number, since it is smaller than the sum of its proper divisors (106257433037184).

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

42865756217856 is a wasteful number, since it uses less digits than its factorization.

42865756217856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2590 counting only the distinct ones).

The product of its digits is 1354752000, while the sum is 72.

The spelling of 42865756217856 in words is "forty-two trillion, eight hundred sixty-five billion, seven hundred fifty-six million, two hundred seventeen thousand, eight hundred fifty-six".