97519492224 has 768 divisors, whose sum is σ = 368211317760. Its totient is φ = 24037171200.

The previous prime is 97519492157. The next prime is 97519492237. The reversal of 97519492224 is 42229491579.

It is a happy number.

It is a super-3 number, since 3×97519492224³ (a number of 34 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 141127719 + ... + 141128409.

It is an arithmetic number, because the mean of its divisors is an integer number (479441820).

Almost surely, 2^97519492224 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 97519492224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184105658880).

97519492224 is an abundant number, since it is smaller than the sum of its proper divisors (270691825536).

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

97519492224 is a wasteful number, since it uses less digits than its factorization.

97519492224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 794 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 97519492224 in words is "ninety-seven billion, five hundred nineteen million, four hundred ninety-two thousand, two hundred twenty-four".