168819859440 has 180 divisors, whose sum is σ = 598364441064. Its totient is φ = 42649161984.

The previous prime is 168819859433. The next prime is 168819859487. The reversal of 168819859440 is 44958918861.

168819859440 is a `hidden beast` number, since 1 + 68 + 81 + 9 + 8 + 59 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×168819859440² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64834 + ... + 584673.

Almost surely, 2^168819859440 is an apocalyptic number.

168819859440 is a gapful number since it is divisible by the number (10) 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 168819859440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299182220532).

168819859440 is an abundant number, since it is smaller than the sum of its proper divisors (429544581624).

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

168819859440 is a wasteful number, since it uses less digits than its factorization.

168819859440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649564 (or 649536 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 168819859440 in words is "one hundred sixty-eight billion, eight hundred nineteen million, eight hundred fifty-nine thousand, four hundred forty".