882616072752 has 80 divisors (see below), whose sum is σ = 2534134967680. Its totient is φ = 294124074048.

The previous prime is 882616072649. The next prime is 882616072759. The reversal of 882616072752 is 257270616288.

882616072752 is a `hidden beast` number, since 8 + 8 + 2 + 6 + 1 + 607 + 27 + 5 + 2 = 666.

It is a super-2 number, since 2×882616072752² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (882616072759) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1293363 + ... + 1854189.

It is an arithmetic number, because the mean of its divisors is an integer number (31676687096).

Almost surely, 2^882616072752 is an apocalyptic number.

It is an amenable number.

882616072752 is an abundant number, since it is smaller than the sum of its proper divisors (1651518894928).

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

882616072752 is a wasteful number, since it uses less digits than its factorization.

882616072752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564487 (or 564475 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 882616072752 in words is "eight hundred eighty-two billion, six hundred sixteen million, seventy-two thousand, seven hundred fifty-two".