97625841040 has 320 divisors, whose sum is σ = 295781068800. Its totient is φ = 29099907072.

The previous prime is 97625841031. The next prime is 97625841043. The reversal of 97625841040 is 4014852679.

It is not an unprimeable number, because it can be changed into a prime (97625841043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24757309 + ... + 24761251.

It is an arithmetic number, because the mean of its divisors is an integer number (924315840).

Almost surely, 2^97625841040 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 97625841040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147890534400).

97625841040 is an abundant number, since it is smaller than the sum of its proper divisors (198155227760).

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

97625841040 is a wasteful number, since it uses less digits than its factorization.

97625841040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4174 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 97625841040 in words is "ninety-seven billion, six hundred twenty-five million, eight hundred forty-one thousand, forty".