96567373996900 has 27 divisors (see below), whose sum is σ = 209551414816569. Its totient is φ = 38626910291280.

The previous prime is 96567373996867. The next prime is 96567373996903. The reversal of 96567373996900 is 969937376569.

The square root of 96567373996900 is 9826870.

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

It can be written as a sum of positive squares in only one way, i.e., 34764254638884 + 61803119358016 = 5896122^2 + 7861496^2 .

It is a super-2 number, since 2×96567373996900² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96567373996903) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 97777357 + ... + 98760043.

Almost surely, 2^{96567373996900} is an apocalyptic number.

96567373996900 is the 9826870-th square number.

It is an amenable number.

96567373996900 is an abundant number, since it is smaller than the sum of its proper divisors (112984040819669).

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

96567373996900 is an frugal number, since it uses more digits than its factorization.

96567373996900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965388 (or 982694 counting only the distinct ones).

The product of its (nonzero) digits is 3124873080, while the sum is 79.

The spelling of 96567373996900 in words is "ninety-six trillion, five hundred sixty-seven billion, three hundred seventy-three million, nine hundred ninety-six thousand, nine hundred".