95702217128001 has 81 divisors (see below), whose sum is σ = 158851846787907. Its totient is φ = 55475241750720.

The previous prime is 95702217127999. The next prime is 95702217128053. The reversal of 95702217128001 is 10082171220759.

The square root of 95702217128001 is 9782751.

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

95702217128001 is a `hidden beast` number, since 9 + 570 + 2 + 2 + 1 + 71 + 2 + 8 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62777114086401 + 32925103041600 = 7923201^2 + 5738040^2 .

It is not a de Polignac number, because 95702217128001 - 2¹ = 95702217127999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (95702217124001) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7425101565 + ... + 7425114453.

Almost surely, 2^{95702217128001} is an apocalyptic number.

95702217128001 is the 9782751-st square number.

95702217128001 is the 4891376-th centered octagonal number.

It is an amenable number.

95702217128001 is a deficient number, since it is larger than the sum of its proper divisors (63149629659906).

95702217128001 is an equidigital number, since it uses as much as digits as its factorization.

95702217128001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25852 (or 12926 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 95702217128001 in words is "ninety-five trillion, seven hundred two billion, two hundred seventeen million, one hundred twenty-eight thousand, one".