882253117440 has 144 divisors (see below), whose sum is σ = 3057731094600. Its totient is φ = 235267473408.

The previous prime is 882253117429. The next prime is 882253117463. The reversal of 882253117440 is 44711352288.

882253117440 is a `hidden beast` number, since 8 + 8 + 2 + 2 + 531 + 1 + 74 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4694370 + ... + 4878689.

Almost surely, 2^882253117440 is an apocalyptic number.

882253117440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

882253117440 is an abundant number, since it is smaller than the sum of its proper divisors (2175477977160).

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

882253117440 is a wasteful number, since it uses less digits than its factorization.

882253117440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9573092 (or 9573069 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 882253117440 in words is "eight hundred eighty-two billion, two hundred fifty-three million, one hundred seventeen thousand, four hundred forty".