82122791910 has 128 divisors (see below), whose sum is σ = 211070002176. Its totient is φ = 20399554560.

The previous prime is 82122791903. The next prime is 82122791941. The reversal of 82122791910 is 1919722128.

It is a super-2 number, since 2×82122791910² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10469590 + ... + 10477430.

It is an arithmetic number, because the mean of its divisors is an integer number (1648984392).

Almost surely, 2^82122791910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82122791910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105535001088).

82122791910 is an abundant number, since it is smaller than the sum of its proper divisors (128947210266).

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

82122791910 is a wasteful number, since it uses less digits than its factorization.

82122791910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8270.

The product of its (nonzero) digits is 36288, while the sum is 42.

The spelling of 82122791910 in words is "eighty-two billion, one hundred twenty-two million, seven hundred ninety-one thousand, nine hundred ten".