95801958144 has 720 divisors, whose sum is σ = 314655485760. Its totient is φ = 28904325120.

The previous prime is 95801958103. The next prime is 95801958173. The reversal of 95801958144 is 44185910859.

95801958144 is a `hidden beast` number, since 9 + 5 + 8 + 0 + 19 + 581 + 44 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1076426452 + ... + 1076426540.

It is an arithmetic number, because the mean of its divisors is an integer number (437021508).

Almost surely, 2^95801958144 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 95801958144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157327742880).

95801958144 is an abundant number, since it is smaller than the sum of its proper divisors (218853527616).

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

95801958144 is a wasteful number, since it uses less digits than its factorization.

95801958144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 95801958144 in words is "ninety-five billion, eight hundred one million, nine hundred fifty-eight thousand, one hundred forty-four".