82729217950 has 48 divisors (see below), whose sum is σ = 159267056256. Its totient is φ = 31938134400.

The previous prime is 82729217947. The next prime is 82729217953. The reversal of 82729217950 is 5971292728.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82729217947) and next prime (82729217953).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82729217953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506604 + ... + 649696.

It is an arithmetic number, because the mean of its divisors is an integer number (3318063672).

Almost surely, 2^82729217950 is an apocalyptic number.

82729217950 is a deficient number, since it is larger than the sum of its proper divisors (76537838306).

82729217950 is a wasteful number, since it uses less digits than its factorization.

82729217950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143509 (or 143504 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 52.

The spelling of 82729217950 in words is "eighty-two billion, seven hundred twenty-nine million, two hundred seventeen thousand, nine hundred fifty".