96570144900 has 54 divisors (see below), whose sum is σ = 302693757002. Its totient is φ = 25752038400.

The previous prime is 96570144893. The next prime is 96570144917. The reversal of 96570144900 is 944107569.

96570144900 is a `hidden beast` number, since 96 + 5 + 70 + 1 + 4 + 490 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 212051844 + 96358093056 = 14562^2 + 310416^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 53649181 + ... + 53650980.

Almost surely, 2^96570144900 is an apocalyptic number.

96570144900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96570144900 is an abundant number, since it is smaller than the sum of its proper divisors (206123612102).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

96570144900 is a wasteful number, since it uses less digits than its factorization.

96570144900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107300181 (or 107300171 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 96570144900 in words is "ninety-six billion, five hundred seventy million, one hundred forty-four thousand, nine hundred".