97511675040000 has 2025 divisors, whose sum is σ = 395308742357529. Its totient is φ = 23889116160000.

The previous prime is 97511675039981. The next prime is 97511675040007. The reversal of 97511675040000 is 4057611579.

The square root of 97511675040000 is 9874800.

It is a perfect power (a square), and thus also a powerful number.

97511675040000 is a `hidden beast` number, since 9 + 75 + 11 + 67 + 504 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 96315224097024 + 1196450942976 = 9814032^2 + 1093824^2 .

It is a tau number, because it is divible by the number of its divisors (2025).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (97511675040007) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 462140639895 + ... + 462140640105.

Almost surely, 2^{97511675040000} is an apocalyptic number.

97511675040000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

97511675040000 is the 9874800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97511675040000

97511675040000 is an abundant number, since it is smaller than the sum of its proper divisors (297797067317529).

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

97511675040000 is an frugal number, since it uses more digits than its factorization.

97511675040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 97511675040000 in words is "ninety-seven trillion, five hundred eleven billion, six hundred seventy-five million, forty thousand".