9761166253440 has 576 divisors, whose sum is σ = 39305965608000. Its totient is φ = 2225642323968.

The previous prime is 9761166253369. The next prime is 9761166253469. The reversal of 9761166253440 is 443526611679.

It is a happy number.

9761166253440 is a `hidden beast` number, since 9 + 7 + 6 + 1 + 1 + 6 + 62 + 534 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 115393881 + ... + 115478439.

It is an arithmetic number, because the mean of its divisors is an integer number (68239523625).

Almost surely, 2^{9761166253440} is an apocalyptic number.

9761166253440 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 9761166253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19652982804000).

9761166253440 is an abundant number, since it is smaller than the sum of its proper divisors (29544799354560).

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

9761166253440 is a wasteful number, since it uses less digits than its factorization.

9761166253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85007 (or 84985 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 9761166253440 in words is "nine trillion, seven hundred sixty-one billion, one hundred sixty-six million, two hundred fifty-three thousand, four hundred forty".