83121679872 has 960 divisors, whose sum is σ = 320446156800. Its totient is φ = 20802355200.

The previous prime is 83121679801. The next prime is 83121679873. The reversal of 83121679872 is 27897612138.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83121679873) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 362976654 + ... + 362976882.

It is an arithmetic number, because the mean of its divisors is an integer number (333798080).

Almost surely, 2^83121679872 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 83121679872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160223078400).

83121679872 is an abundant number, since it is smaller than the sum of its proper divisors (237324476928).

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

83121679872 is a wasteful number, since it uses less digits than its factorization.

83121679872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 283 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 83121679872 in words is "eighty-three billion, one hundred twenty-one million, six hundred seventy-nine thousand, eight hundred seventy-two".