84595520064 has 224 divisors, whose sum is σ = 256816189440. Its totient is φ = 24338995200.

The previous prime is 84595520057. The next prime is 84595520077. The reversal of 84595520064 is 46002559548.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 84595519995 and 84595520022.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3457827 + ... + 3482205.

Almost surely, 2^84595520064 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 84595520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128408094720).

84595520064 is an abundant number, since it is smaller than the sum of its proper divisors (172220669376).

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

84595520064 is a wasteful number, since it uses less digits than its factorization.

84595520064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24489 (or 24479 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 84595520064 in words is "eighty-four billion, five hundred ninety-five million, five hundred twenty thousand, sixty-four".