96720378001 has 27 divisors (see below), whose sum is σ = 107219130321. Its totient is φ = 87209095584.

The previous prime is 96720377989. The next prime is 96720378011. The reversal of 96720378001 is 10087302769.

It is a happy number.

The square root of 96720378001 is 310999.

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

It can be written as a sum of positive squares in 4 ways, for example, as 262926225 + 96457451776 = 16215^2 + 310576^2 .

It is not a de Polignac number, because 96720378001 - 2²¹ = 96718280849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96720378011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 190020135 + ... + 190020643.

Almost surely, 2^96720378001 is an apocalyptic number.

96720378001 is the 310999-th square number.

96720378001 is the 155500-th centered octagonal number.

It is an amenable number.

96720378001 is a deficient number, since it is larger than the sum of its proper divisors (10498752320).

96720378001 is an frugal number, since it uses more digits than its factorization.

96720378001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

It can be divided in two parts, 96720 and 378001, that added together give a square (474721 = 689²).

The spelling of 96720378001 in words is "ninety-six billion, seven hundred twenty million, three hundred seventy-eight thousand, one".