95953955680881 has 45 divisors (see below), whose sum is σ = 144757472343561. Its totient is φ = 63342247672728.

The previous prime is 95953955680871. The next prime is 95953955680883. The reversal of 95953955680881 is 18808655935959.

The square root of 95953955680881 is 9795609.

It is a perfect power (a square), and thus also a powerful number.

95953955680881 is a `hidden beast` number, since 9 + 5 + 9 + 53 + 9 + 556 + 8 + 0 + 8 + 8 + 1 = 666.

It is not a de Polignac number, because 95953955680881 - 2⁹ = 95953955680369 is a prime.

It is a super-2 number, since 2×95953955680881² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 95953955680881.

It is not an unprimeable number, because it can be changed into a prime (95953955680883) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9080524260 + ... + 9080534826.

Almost surely, 2^{95953955680881} is an apocalyptic number.

95953955680881 is the 9795609-th square number.

95953955680881 is the 4897805-th centered octagonal number.

It is an amenable number.

95953955680881 is a deficient number, since it is larger than the sum of its proper divisors (48803516662680).

95953955680881 is an frugal number, since it uses more digits than its factorization.

95953955680881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21352 (or 10673 counting only the distinct ones).

The product of its (nonzero) digits is 4199040000, while the sum is 81.

95953955680881 divided by its sum of digits (81) gives a square (1184616736801 = 1088401²).

The spelling of 95953955680881 in words is "ninety-five trillion, nine hundred fifty-three billion, nine hundred fifty-five million, six hundred eighty thousand, eight hundred eighty-one".