82695937506 has 144 divisors (see below), whose sum is σ = 213968015424. Its totient is φ = 21219988608.

The previous prime is 82695937463. The next prime is 82695937517. The reversal of 82695937506 is 60573959628.

It is a self number, because there is not a number n which added to its sum of digits gives 82695937506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1815891 + ... + 1860873.

It is an arithmetic number, because the mean of its divisors is an integer number (1485888996).

Almost surely, 2^82695937506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82695937506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106984007712).

82695937506 is an abundant number, since it is smaller than the sum of its proper divisors (131272077918).

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

82695937506 is a wasteful number, since it uses less digits than its factorization.

82695937506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45065 (or 45045 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 60.

It can be divided in two parts, 8269593750 and 6, that multiplied together give a square (49617562500 = 222750²).

The spelling of 82695937506 in words is "eighty-two billion, six hundred ninety-five million, nine hundred thirty-seven thousand, five hundred six".