426898540085760 has 960 divisors, whose sum is σ = 1580433898792320. Its totient is φ = 106176388792320.

The previous prime is 426898540085749. The next prime is 426898540085761. The reversal of 426898540085760 is 67580045898624.

426898540085760 is a `hidden beast` number, since 4 + 2 + 6 + 8 + 9 + 8 + 5 + 40 + 0 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×426898540085760³ (a number of 45 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (426898540085761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69834536464 + ... + 69834542576.

It is an arithmetic number, because the mean of its divisors is an integer number (1646285311242).

Almost surely, 2^{426898540085760} is an apocalyptic number.

426898540085760 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 426898540085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790216949396160).

426898540085760 is an abundant number, since it is smaller than the sum of its proper divisors (1153535358706560).

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

426898540085760 is a wasteful number, since it uses less digits than its factorization.

426898540085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8609 (or 8590 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 426898540085760 in words is "four hundred twenty-six trillion, eight hundred ninety-eight billion, five hundred forty million, eighty-five thousand, seven hundred sixty".