82124071380 has 72 divisors (see below), whose sum is σ = 268271974152. Its totient is φ = 20215155456.

The previous prime is 82124071363. The next prime is 82124071409. The reversal of 82124071380 is 8317042128.

82124071380 is a `hidden beast` number, since 8 + 212 + 407 + 1 + 38 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13246168464 + 68877902916 = 115092^2 + 262446^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17545539 + ... + 17550218.

It is an arithmetic number, because the mean of its divisors is an integer number (3725999641).

Almost surely, 2^82124071380 is an apocalyptic number.

It is an amenable number.

82124071380 is an abundant number, since it is smaller than the sum of its proper divisors (186147902772).

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

82124071380 is a wasteful number, since it uses less digits than its factorization.

82124071380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35095785 (or 35095780 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 82124071380 in words is "eighty-two billion, one hundred twenty-four million, seventy-one thousand, three hundred eighty".