8435020688160 has 768 divisors, whose sum is σ = 31097327321088. Its totient is φ = 1901458944000.

The previous prime is 8435020688153. The next prime is 8435020688261. The reversal of 8435020688160 is 618860205348.

It is a happy number.

It is a super-2 number, since 2×8435020688160² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 861854787 + ... + 861864573.

It is an arithmetic number, because the mean of its divisors is an integer number (40491311616).

Almost surely, 2^{8435020688160} is an apocalyptic number.

8435020688160 is a gapful number since it is divisible by the number (80) 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 8435020688160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15548663660544).

8435020688160 is an abundant number, since it is smaller than the sum of its proper divisors (22662306632928).

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

8435020688160 is a wasteful number, since it uses less digits than its factorization.

8435020688160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10037 (or 10029 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 8435020688160 in words is "eight trillion, four hundred thirty-five billion, twenty million, six hundred eighty-eight thousand, one hundred sixty".