82772098506 has 32 divisors (see below), whose sum is σ = 184031179200. Its totient is φ = 27576722160.

The previous prime is 82772098501. The next prime is 82772098621. The reversal of 82772098506 is 60589027728.

It is a happy number.

82772098506 is a `hidden beast` number, since 8 + 27 + 7 + 20 + 98 + 506 = 666.

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 (82772098501) 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, 280405 + ... + 494136.

It is an arithmetic number, because the mean of its divisors is an integer number (5750974350).

Almost surely, 2^82772098506 is an apocalyptic number.

82772098506 is an abundant number, since it is smaller than the sum of its proper divisors (101259080694).

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

82772098506 is a wasteful number, since it uses less digits than its factorization.

82772098506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776531 (or 776525 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 82772098506 in words is "eighty-two billion, seven hundred seventy-two million, ninety-eight thousand, five hundred six".