96270417600 has 504 divisors, whose sum is σ = 369510064128. Its totient is φ = 21879244800.

The previous prime is 96270417583. The next prime is 96270417601. The reversal of 96270417600 is 671407269.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (96270417601) 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 71 ways as a sum of consecutive naturals, for example, 44922129 + ... + 44924271.

Almost surely, 2^96270417600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96270417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184755032064).

96270417600 is an abundant number, since it is smaller than the sum of its proper divisors (273239646528).

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

96270417600 is a wasteful number, since it uses less digits than its factorization.

96270417600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 96270417600 in words is "ninety-six billion, two hundred seventy million, four hundred seventeen thousand, six hundred".