95787921456001 has 2 divisors, whose sum is σ = 95787921456002. Its totient is φ = 95787921456000.

The previous prime is 95787921455999. The next prime is 95787921456013. The reversal of 95787921456001 is 10065412978759.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93663393660225 + 2124527795776 = 9677985^2 + 1457576^2 .

It is an emirp because it is prime and its reverse (10065412978759) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 95787921456001 - 2¹ = 95787921455999 is a prime.

It is a super-2 number, since 2×95787921456001² (a number of 29 digits) contains 22 as substring.

Together with 95787921455999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (95787921456091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 47893960728000 + 47893960728001.

It is an arithmetic number, because the mean of its divisors is an integer number (47893960728001).

Almost surely, 2^{95787921456001} is an apocalyptic number.

It is an amenable number.

95787921456001 is a deficient number, since it is larger than the sum of its proper divisors (1).

95787921456001 is an equidigital number, since it uses as much as digits as its factorization.

95787921456001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38102400, while the sum is 64.

The spelling of 95787921456001 in words is "ninety-five trillion, seven hundred eighty-seven billion, nine hundred twenty-one million, four hundred fifty-six thousand, one".