97625410288 has 120 divisors (see below), whose sum is σ = 235199008800. Its totient is φ = 39043952640.

The previous prime is 97625410261. The next prime is 97625410301. The reversal of 97625410288 is 88201452679.

It is a super-3 number, since 3×97625410288³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 673288 + ... + 805336.

It is an arithmetic number, because the mean of its divisors is an integer number (1959991740).

Almost surely, 2^97625410288 is an apocalyptic number.

97625410288 is a gapful number since it is divisible by the number (98) 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 97625410288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117599504400).

97625410288 is an abundant number, since it is smaller than the sum of its proper divisors (137573598512).

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

97625410288 is a wasteful number, since it uses less digits than its factorization.

97625410288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132135 (or 132122 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 97625410288 in words is "ninety-seven billion, six hundred twenty-five million, four hundred ten thousand, two hundred eighty-eight".