83950545960 has 256 divisors, whose sum is σ = 283046400000. Its totient is φ = 22131470592.

The previous prime is 83950545907. The next prime is 83950545961. The reversal of 83950545960 is 6954505938.

It is a happy number.

83950545960 is a `hidden beast` number, since 8 + 3 + 9 + 5 + 0 + 545 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 83950545897 and 83950545906.

It is not an unprimeable number, because it can be changed into a prime (83950545961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35890471 + ... + 35892809.

It is an arithmetic number, because the mean of its divisors is an integer number (1105650000).

Almost surely, 2^83950545960 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 83950545960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200000).

83950545960 is an abundant number, since it is smaller than the sum of its proper divisors (199095854040).

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

83950545960 is a wasteful number, since it uses less digits than its factorization.

83950545960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 83950545960 in words is "eighty-three billion, nine hundred fifty million, five hundred forty-five thousand, nine hundred sixty".