9657286560000 has 2160 divisors, whose sum is σ = 40268601172800. Its totient is φ = 2293235712000.

The previous prime is 9657286559971. The next prime is 9657286560029. The reversal of 9657286560000 is 656827569.

It is a happy number.

9657286560000 is a `hidden beast` number, since 9 + 6 + 5 + 7 + 28 + 6 + 5 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9657286559971) and next prime (9657286560029).

It is a tau number, because it is divible by the number of its divisors (2160).

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 239 ways as a sum of consecutive naturals, for example, 12558239616 + ... + 12558240384.

Almost surely, 2^{9657286560000} is an apocalyptic number.

9657286560000 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 9657286560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20134300586400).

9657286560000 is an abundant number, since it is smaller than the sum of its proper divisors (30611314612800).

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

9657286560000 is an equidigital number, since it uses as much as digits as its factorization.

9657286560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 9657286560000 in words is "nine trillion, six hundred fifty-seven billion, two hundred eighty-six million, five hundred sixty thousand".