96900227424 has 1152 divisors, whose sum is σ = 392038133760. Its totient is φ = 22730803200.

The previous prime is 96900227393. The next prime is 96900227447. The reversal of 96900227424 is 42472200969.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 96900227424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 459242679 + ... + 459242889.

It is an arithmetic number, because the mean of its divisors is an integer number (340310880).

Almost surely, 2^96900227424 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 96900227424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196019066880).

96900227424 is an abundant number, since it is smaller than the sum of its proper divisors (295137906336).

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

96900227424 is a wasteful number, since it uses less digits than its factorization.

96900227424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 96900227424 in words is "ninety-six billion, nine hundred million, two hundred twenty-seven thousand, four hundred twenty-four".