97126096032 has 384 divisors, whose sum is σ = 335126937600. Its totient is φ = 26780544000.

The previous prime is 97126096027. The next prime is 97126096033. The reversal of 97126096032 is 23069062179.

It is a happy number.

97126096032 is a `hidden beast` number, since 9 + 7 + 1 + 2 + 609 + 6 + 0 + 32 = 666.

It is a super-2 number, since 2×97126096032² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (97126096033) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 131428719 + ... + 131429457.

It is an arithmetic number, because the mean of its divisors is an integer number (872726400).

Almost surely, 2^97126096032 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 97126096032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167563468800).

97126096032 is an abundant number, since it is smaller than the sum of its proper divisors (238000841568).

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

97126096032 is a wasteful number, since it uses less digits than its factorization.

97126096032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 97126096032 in words is "ninety-seven billion, one hundred twenty-six million, ninety-six thousand, thirty-two".