95993652104064 has 1536 divisors, whose sum is σ = 343460672755200. Its totient is φ = 25339900723200.

The previous prime is 95993652104027. The next prime is 95993652104099. The reversal of 95993652104064 is 46040125639959.

95993652104064 is a `hidden beast` number, since 9 + 5 + 9 + 9 + 3 + 6 + 5 + 210 + 406 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 95993652103992 and 95993652104010.

It is a congruent number.

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, 31075962232 + ... + 31075965320.

It is an arithmetic number, because the mean of its divisors is an integer number (223607208825).

Almost surely, 2^{95993652104064} 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 95993652104064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171730336377600).

95993652104064 is an abundant number, since it is smaller than the sum of its proper divisors (247467020651136).

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

95993652104064 is a wasteful number, since it uses less digits than its factorization.

95993652104064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3324 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 95993652104064 in words is "ninety-five trillion, nine hundred ninety-three billion, six hundred fifty-two million, one hundred four thousand, sixty-four".