83127082710 has 128 divisors (see below), whose sum is σ = 233629608960. Its totient is φ = 18533039616.

The previous prime is 83127082639. The next prime is 83127082757. The reversal of 83127082710 is 1728072138.

It is a super-2 number, since 2×83127082710² (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, 6974236 + ... + 6986144.

It is an arithmetic number, because the mean of its divisors is an integer number (1825231320).

Almost surely, 2^83127082710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83127082710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116814804480).

83127082710 is an abundant number, since it is smaller than the sum of its proper divisors (150502526250).

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

83127082710 is a wasteful number, since it uses less digits than its factorization.

83127082710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12742.

The product of its (nonzero) digits is 37632, while the sum is 39.

The spelling of 83127082710 in words is "eighty-three billion, one hundred twenty-seven million, eighty-two thousand, seven hundred ten".