97255729152 has 144 divisors (see below), whose sum is σ = 281426401620. Its totient is φ = 32356958208.

The previous prime is 97255729133. The next prime is 97255729169. The reversal of 97255729152 is 25192755279.

97255729152 is a `hidden beast` number, since 9 + 72 + 557 + 2 + 9 + 15 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96805610496 + 450118656 = 311136^2 + 21216^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 11 ways as a sum of consecutive naturals, for example, 10261888 + ... + 10271360.

Almost surely, 2^97255729152 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 97255729152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140713200810).

97255729152 is an abundant number, since it is smaller than the sum of its proper divisors (184170672468).

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

97255729152 is a wasteful number, since it uses less digits than its factorization.

97255729152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10058 (or 10035 counting only the distinct ones).

The product of its digits is 3969000, while the sum is 54.

The spelling of 97255729152 in words is "ninety-seven billion, two hundred fifty-five million, seven hundred twenty-nine thousand, one hundred fifty-two".