82998137376 has 384 divisors, whose sum is σ = 307519027200. Its totient is φ = 21150305280.

The previous prime is 82998137359. The next prime is 82998137419. The reversal of 82998137376 is 67373189928.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3514215 + ... + 3537753.

It is an arithmetic number, because the mean of its divisors is an integer number (800830800).

Almost surely, 2^82998137376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82998137376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153759513600).

82998137376 is an abundant number, since it is smaller than the sum of its proper divisors (224520889824).

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

82998137376 is a wasteful number, since it uses less digits than its factorization.

82998137376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23629 (or 23615 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The spelling of 82998137376 in words is "eighty-two billion, nine hundred ninety-eight million, one hundred thirty-seven thousand, three hundred seventy-six".