96202771820064 has 576 divisors, whose sum is σ = 356297993146368. Its totient is φ = 23927194368000.

The previous prime is 96202771820059. The next prime is 96202771820069. The reversal of 96202771820064 is 46002817720269.

96202771820064 is a `hidden beast` number, since 9 + 620 + 2 + 7 + 7 + 1 + 8 + 2 + 0 + 0 + 6 + 4 = 666.

96202771820064 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (96202771820059) and next prime (96202771820069).

It is not an unprimeable number, because it can be changed into a prime (96202771820069) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41673739 + ... + 43921589.

It is an arithmetic number, because the mean of its divisors is an integer number (618572904768).

Almost surely, 2^{96202771820064} 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 96202771820064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178148996573184).

96202771820064 is an abundant number, since it is smaller than the sum of its proper divisors (260095221326304).

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

96202771820064 is a wasteful number, since it uses less digits than its factorization.

96202771820064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247981 (or 2247970 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 96202771820064 in words is "ninety-six trillion, two hundred two billion, seven hundred seventy-one million, eight hundred twenty thousand, sixty-four".