835532488960 has 288 divisors, whose sum is σ = 2257000236288. Its totient is φ = 294044467200.

The previous prime is 835532488871. The next prime is 835532489009. The reversal of 835532488960 is 69884235538.

It is a happy number.

It is a super-2 number, since 2×835532488960² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112133235 + ... + 112140685.

It is an arithmetic number, because the mean of its divisors is an integer number (7836806376).

Almost surely, 2^835532488960 is an apocalyptic number.

835532488960 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 835532488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128500118144).

835532488960 is an abundant number, since it is smaller than the sum of its proper divisors (1421467747328).

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

835532488960 is a wasteful number, since it uses less digits than its factorization.

835532488960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7801 (or 7787 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 61.

The spelling of 835532488960 in words is "eight hundred thirty-five billion, five hundred thirty-two million, four hundred eighty-eight thousand, nine hundred sixty".