97655725440 has 1280 divisors, whose sum is σ = 435259883520. Its totient is φ = 20316635136.

The previous prime is 97655725381. The next prime is 97655725459. The reversal of 97655725440 is 4452755679.

It is a happy number.

97655725440 is a `hidden beast` number, since 9 + 7 + 65 + 572 + 5 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×97655725440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 599114799 + ... + 599114961.

It is an arithmetic number, because the mean of its divisors is an integer number (340046784).

Almost surely, 2^97655725440 is an apocalyptic number.

97655725440 is a gapful number since it is divisible by the number (90) 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 97655725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217629941760).

97655725440 is an abundant number, since it is smaller than the sum of its proper divisors (337604158080).

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

97655725440 is a wasteful number, since it uses less digits than its factorization.

97655725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 97655725440 in words is "ninety-seven billion, six hundred fifty-five million, seven hundred twenty-five thousand, four hundred forty".