95781669984 has 576 divisors, whose sum is σ = 373545768960. Its totient is φ = 22472847360.

The previous prime is 95781669923. The next prime is 95781669989. The reversal of 95781669984 is 48996618759.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95781669989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13546002 + ... + 13553070.

It is an arithmetic number, because the mean of its divisors is an integer number (648516960).

Almost surely, 2^95781669984 is an apocalyptic number.

95781669984 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95781669984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186772884480).

95781669984 is an abundant number, since it is smaller than the sum of its proper divisors (277764098976).

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

95781669984 is a wasteful number, since it uses less digits than its factorization.

95781669984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7163 (or 7152 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 72.

The spelling of 95781669984 in words is "ninety-five billion, seven hundred eighty-one million, six hundred sixty-nine thousand, nine hundred eighty-four".