97532905792 has 112 divisors (see below), whose sum is σ = 230193250560. Its totient is φ = 40115884032.

The previous prime is 97532905753. The next prime is 97532905793. The reversal of 97532905792 is 29750923579.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×97532905792² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97532905793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2147188 + ... + 2192140.

It is an arithmetic number, because the mean of its divisors is an integer number (2055296880).

Almost surely, 2^97532905792 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 97532905792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115096625280).

97532905792 is an abundant number, since it is smaller than the sum of its proper divisors (132660344768).

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

97532905792 is a wasteful number, since it uses less digits than its factorization.

97532905792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45168 (or 45158 counting only the distinct ones).

The product of its (nonzero) digits is 10716300, while the sum is 58.

The spelling of 97532905792 in words is "ninety-seven billion, five hundred thirty-two million, nine hundred five thousand, seven hundred ninety-two".