83106321480 has 1536 divisors, whose sum is σ = 372363264000. Its totient is φ = 15586836480.

The previous prime is 83106321437. The next prime is 83106321509. The reversal of 83106321480 is 8412360138.

83106321480 is a `hidden beast` number, since 8 + 3 + 1 + 0 + 632 + 14 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1138442724 + ... + 1138442796.

It is an arithmetic number, because the mean of its divisors is an integer number (242424000).

Almost surely, 2^83106321480 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 83106321480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186181632000).

83106321480 is an abundant number, since it is smaller than the sum of its proper divisors (289256942520).

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

83106321480 is a wasteful number, since it uses less digits than its factorization.

83106321480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 83106321480 in words is "eighty-three billion, one hundred six million, three hundred twenty-one thousand, four hundred eighty".