84130005960 has 1536 divisors, whose sum is σ = 402152325120. Its totient is φ = 14664499200.

The previous prime is 84130005913. The next prime is 84130005979. The reversal of 84130005960 is 6950003148.

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, 189909499 + ... + 189909941.

It is an arithmetic number, because the mean of its divisors is an integer number (261817920).

Almost surely, 2^84130005960 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 84130005960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201076162560).

84130005960 is an abundant number, since it is smaller than the sum of its proper divisors (318022319160).

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

84130005960 is a wasteful number, since it uses less digits than its factorization.

84130005960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 84130005960 in words is "eighty-four billion, one hundred thirty million, five thousand, nine hundred sixty".