82838120000 has 70 divisors (see below), whose sum is σ = 205411714398. Its totient is φ = 33135232000.

The previous prime is 82838119997. The next prime is 82838120011. The reversal of 82838120000 is 2183828.

It can be written as a sum of positive squares in 5 ways, for example, as 29025255424 + 53812864576 = 170368^2 + 231976^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 995477 + ... + 1075476.

Almost surely, 2^82838120000 is an apocalyptic number.

82838120000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82838120000 is an abundant number, since it is smaller than the sum of its proper divisors (122573594398).

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

82838120000 is an equidigital number, since it uses as much as digits as its factorization.

82838120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070985 (or 2070960 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The spelling of 82838120000 in words is "eighty-two billion, eight hundred thirty-eight million, one hundred twenty thousand".