42856056249552 has 1200 divisors, whose sum is σ = 161139169089360. Its totient is φ = 10886288523264.

The previous prime is 42856056249521. The next prime is 42856056249577. The reversal of 42856056249552 is 25594265065824.

42856056249552 is a `hidden beast` number, since 4 + 2 + 8 + 5 + 6 + 0 + 56 + 24 + 9 + 552 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1504263002256 + 41351793247296 = 1226484^2 + 6430536^2 .

It is a super-3 number, since 3×42856056249552³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 42856056249552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10941038698 + ... + 10941042614.

Almost surely, 2^{42856056249552} is an apocalyptic number.

42856056249552 is a gapful number since it is divisible by the number (42) 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 42856056249552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80569584544680).

42856056249552 is an abundant number, since it is smaller than the sum of its proper divisors (118283112839808).

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

42856056249552 is a wasteful number, since it uses less digits than its factorization.

42856056249552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4450 (or 4428 counting only the distinct ones).

The product of its (nonzero) digits is 207360000, while the sum is 63.

The spelling of 42856056249552 in words is "forty-two trillion, eight hundred fifty-six billion, fifty-six million, two hundred forty-nine thousand, five hundred fifty-two".