882817367040 has 1056 divisors, whose sum is σ = 3696950779200. Its totient is φ = 201661415424.

The previous prime is 882817367027. The next prime is 882817367041. The reversal of 882817367040 is 40763718288.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882817367041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 548673756 + ... + 548675364.

Almost surely, 2^882817367040 is an apocalyptic number.

882817367040 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 882817367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848475389600).

882817367040 is an abundant number, since it is smaller than the sum of its proper divisors (2814133412160).

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

882817367040 is an equidigital number, since it uses as much as digits as its factorization.

882817367040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 882817367040 in words is "eight hundred eighty-two billion, eight hundred seventeen million, three hundred sixty-seven thousand, forty".