97522411253760 has 1248 divisors, whose sum is σ = 377610184972800. Its totient is φ = 23165502750720.

The previous prime is 97522411253717. The next prime is 97522411253777. The reversal of 97522411253760 is 6735211422579.

97522411253760 is a `hidden beast` number, since 9 + 7 + 5 + 2 + 2 + 41 + 1 + 2 + 537 + 60 = 666.

It is a super-2 number, since 2×97522411253760² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 97522411253697 and 97522411253706.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4752312300 + ... + 4752332820.

It is an arithmetic number, because the mean of its divisors is an integer number (302572263600).

Almost surely, 2^{97522411253760} is an apocalyptic number.

97522411253760 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 97522411253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188805092486400).

97522411253760 is an abundant number, since it is smaller than the sum of its proper divisors (280087773719040).

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

97522411253760 is a wasteful number, since it uses less digits than its factorization.

97522411253760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20657 (or 20632 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 97522411253760 in words is "ninety-seven trillion, five hundred twenty-two billion, four hundred eleven million, two hundred fifty-three thousand, seven hundred sixty".