97406990028288 has 560 divisors, whose sum is σ = 297479360280960. Its totient is φ = 31841628622848.

The previous prime is 97406990028209. The next prime is 97406990028289. The reversal of 97406990028288 is 88282009960479.

97406990028288 is a `hidden beast` number, since 97 + 40 + 69 + 90 + 0 + 282 + 88 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97406990028289) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 5676720253 + ... + 5676737411.

Almost surely, 2^{97406990028288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97406990028288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148739680140480).

97406990028288 is an abundant number, since it is smaller than the sum of its proper divisors (200072370252672).

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

97406990028288 is an equidigital number, since it uses as much as digits as its factorization.

97406990028288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17489 (or 17458 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 97406990028288 in words is "ninety-seven trillion, four hundred six billion, nine hundred ninety million, twenty-eight thousand, two hundred eighty-eight".