9965097254880 has 288 divisors, whose sum is σ = 34569861449760. Its totient is φ = 2613304995840.

The previous prime is 9965097254863. The next prime is 9965097254881. The reversal of 9965097254880 is 884527905699.

9965097254880 is a `hidden beast` number, since 9 + 9 + 6 + 5 + 0 + 9 + 72 + 548 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×9965097254880⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9965097254799 and 9965097254808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9965097254881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 907645231 + ... + 907656209.

It is an arithmetic number, because the mean of its divisors is an integer number (120034241145).

Almost surely, 2^{9965097254880} is an apocalyptic number.

9965097254880 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 9965097254880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17284930724880).

9965097254880 is an abundant number, since it is smaller than the sum of its proper divisors (24604764194880).

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

9965097254880 is a wasteful number, since it uses less digits than its factorization.

9965097254880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21394 (or 21383 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 9965097254880 in words is "nine trillion, nine hundred sixty-five billion, ninety-seven million, two hundred fifty-four thousand, eight hundred eighty".