97530241536 has 800 divisors, whose sum is σ = 367221579648. Its totient is φ = 25082265600.

The previous prime is 97530241517. The next prime is 97530241541. The reversal of 97530241536 is 63514203579.

97530241536 is a `hidden beast` number, since 9 + 75 + 3 + 0 + 2 + 41 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 97530241491 and 97530241500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 162279636 + ... + 162280236.

Almost surely, 2^97530241536 is an apocalyptic number.

97530241536 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97530241536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183610789824).

97530241536 is an abundant number, since it is smaller than the sum of its proper divisors (269691338112).

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

97530241536 is a wasteful number, since it uses less digits than its factorization.

97530241536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 97530241536 in words is "ninety-seven billion, five hundred thirty million, two hundred forty-one thousand, five hundred thirty-six".