83229167040 has 224 divisors, whose sum is σ = 276237557760. Its totient is φ = 21206016000.

The previous prime is 83229167011. The next prime is 83229167041. The reversal of 83229167040 is 4076192238.

It is a junction number, because it is equal to n+sod(n) for n = 83229166983 and 83229167001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83229167041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2333340 + ... + 2368740.

Almost surely, 2^83229167040 is an apocalyptic number.

83229167040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83229167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138118778880).

83229167040 is an abundant number, since it is smaller than the sum of its proper divisors (193008390720).

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

83229167040 is a wasteful number, since it uses less digits than its factorization.

83229167040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35531 (or 35521 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 83229167040 in words is "eighty-three billion, two hundred twenty-nine million, one hundred sixty-seven thousand, forty".