95504561759040 has 672 divisors, whose sum is σ = 362252402565120. Its totient is φ = 21245707800576.

The previous prime is 95504561759029. The next prime is 95504561759071. The reversal of 95504561759040 is 4095716540559.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×95504561759040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 395626857 + ... + 395868183.

Almost surely, 2^{95504561759040} 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 95504561759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181126201282560).

95504561759040 is an abundant number, since it is smaller than the sum of its proper divisors (266747840806080).

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

95504561759040 is a wasteful number, since it uses less digits than its factorization.

95504561759040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241587 (or 241570 counting only the distinct ones).

The product of its (nonzero) digits is 34020000, while the sum is 60.

The spelling of 95504561759040 in words is "ninety-five trillion, five hundred four billion, five hundred sixty-one million, seven hundred fifty-nine thousand, forty".