82615247550 has 144 divisors (see below), whose sum is σ = 242265900240. Its totient is φ = 20017344000.

The previous prime is 82615247549. The next prime is 82615247557. The reversal of 82615247550 is 5574251628.

82615247550 is a `hidden beast` number, since 8 + 2 + 6 + 1 + 52 + 47 + 550 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 82615247496 and 82615247505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82615247557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13564906 + ... + 13570994.

It is an arithmetic number, because the mean of its divisors is an integer number (1682402085).

Almost surely, 2^82615247550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82615247550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121132950120).

82615247550 is an abundant number, since it is smaller than the sum of its proper divisors (159650652690).

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

82615247550 is a wasteful number, since it uses less digits than its factorization.

82615247550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8859 (or 8851 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 82615247550 in words is "eighty-two billion, six hundred fifteen million, two hundred forty-seven thousand, five hundred fifty".