83950280960 has 432 divisors, whose sum is σ = 265218811200. Its totient is φ = 25165873152.

The previous prime is 83950280927. The next prime is 83950280983. The reversal of 83950280960 is 6908205938.

It is a junction number, because it is equal to n+sod(n) for n = 83950280899 and 83950280908.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15489131 + ... + 15494549.

Almost surely, 2^83950280960 is an apocalyptic number.

83950280960 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 83950280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132609405600).

83950280960 is an abundant number, since it is smaller than the sum of its proper divisors (181268530240).

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

83950280960 is a wasteful number, since it uses less digits than its factorization.

83950280960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5486 (or 5465 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 50.

The spelling of 83950280960 in words is "eighty-three billion, nine hundred fifty million, two hundred eighty thousand, nine hundred sixty".