882782530560 has 528 divisors, whose sum is σ = 3625302110976. Its totient is φ = 201776873472.

The previous prime is 882782530547. The next prime is 882782530561. The reversal of 882782530560 is 65035287288.

882782530560 is a `hidden beast` number, since 8 + 8 + 2 + 78 + 2 + 5 + 3 + 0 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 882782530497 and 882782530506.

It is not an unprimeable number, because it can be changed into a prime (882782530561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8658439 + ... + 8759801.

Almost surely, 2^882782530560 is an apocalyptic number.

882782530560 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 882782530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812651055488).

882782530560 is an abundant number, since it is smaller than the sum of its proper divisors (2742519580416).

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

882782530560 is a wasteful number, since it uses less digits than its factorization.

882782530560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101410 (or 101380 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 882782530560 in words is "eight hundred eighty-two billion, seven hundred eighty-two million, five hundred thirty thousand, five hundred sixty".