95838331680 has 2160 divisors, whose sum is σ = 458009354880. Its totient is φ = 18748993536.

The previous prime is 95838331639. The next prime is 95838331741. The reversal of 95838331680 is 8613383859.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2039113417 + ... + 2039113463.

It is an arithmetic number, because the mean of its divisors is an integer number (212041368).

Almost surely, 2^95838331680 is an apocalyptic number.

95838331680 is a gapful number since it is divisible by the number (90) 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 95838331680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229004677440).

95838331680 is an abundant number, since it is smaller than the sum of its proper divisors (362171023200).

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

95838331680 is a wasteful number, since it uses less digits than its factorization.

95838331680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 95838331680 in words is "ninety-five billion, eight hundred thirty-eight million, three hundred thirty-one thousand, six hundred eighty".