95941391787648 has 1536 divisors, whose sum is σ = 335784443904000. Its totient is φ = 26961867878400.

The previous prime is 95941391787541. The next prime is 95941391787673. The reversal of 95941391787648 is 84678719314959.

95941391787648 is a `hidden beast` number, since 9 + 5 + 9 + 413 + 91 + 7 + 8 + 76 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65221883553 + ... + 65221885023.

It is an arithmetic number, because the mean of its divisors is an integer number (218609664000).

Almost surely, 2^{95941391787648} 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 95941391787648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167892221952000).

95941391787648 is an abundant number, since it is smaller than the sum of its proper divisors (239843052116352).

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

95941391787648 is a wasteful number, since it uses less digits than its factorization.

95941391787648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1712 counting only the distinct ones).

The product of its digits is 3292047360, while the sum is 81.

The spelling of 95941391787648 in words is "ninety-five trillion, nine hundred forty-one billion, three hundred ninety-one million, seven hundred eighty-seven thousand, six hundred forty-eight".