42806055821760 has 1792 divisors, whose sum is σ = 191370196684800. Its totient is φ = 8858697891840.

The previous prime is 42806055821743. The next prime is 42806055821777. The reversal of 42806055821760 is 6712855060824.

42806055821760 is a `hidden beast` number, since 4 + 2 + 8 + 0 + 6 + 0 + 558 + 21 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (42806055821743) and next prime (42806055821777).

It is a super-5 number, since 5×42806055821760⁵ (a number of 69 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 42806055821697 and 42806055821706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14495784444 + ... + 14495787396.

It is an arithmetic number, because the mean of its divisors is an integer number (106791404400).

Almost surely, 2^{42806055821760} is an apocalyptic number.

42806055821760 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 42806055821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95685098342400).

42806055821760 is an abundant number, since it is smaller than the sum of its proper divisors (148564140863040).

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

42806055821760 is a wasteful number, since it uses less digits than its factorization.

42806055821760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 42806055821760 in words is "forty-two trillion, eight hundred six billion, fifty-five million, eight hundred twenty-one thousand, seven hundred sixty".