96006402801 has 27 divisors (see below), whose sum is σ = 139697077611. Its totient is φ = 63536396544.

The previous prime is 96006402781. The next prime is 96006402823. The reversal of 96006402801 is 10820460069.

The square root of 96006402801 is 309849.

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

96006402801 is a `hidden beast` number, since 9 + 6 + 0 + 0 + 640 + 2 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 95342000625 + 664402176 = 308775^2 + 25776^2 .

It is not a de Polignac number, because 96006402801 - 2²³ = 95998014193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (96006402841) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 166388625 + ... + 166389201.

Almost surely, 2^96006402801 is an apocalyptic number.

96006402801 is the 309849-th square number.

96006402801 is the 154925-th centered octagonal number.

It is an amenable number.

96006402801 is a deficient number, since it is larger than the sum of its proper divisors (43690674810).

96006402801 is an frugal number, since it uses more digits than its factorization.

96006402801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 96006402801 by its sum of digits (36), we get a square (3456230500836 = 1859094²).

The spelling of 96006402801 in words is "ninety-six billion, six million, four hundred two thousand, eight hundred one".