97153407203328 has 672 divisors, whose sum is σ = 333129452554080. Its totient is φ = 27735969300480.

The previous prime is 97153407203221. The next prime is 97153407203339. The reversal of 97153407203328 is 82330270435179.

It is a happy number.

97153407203328 is a `hidden beast` number, since 9 + 7 + 1 + 5 + 3 + 407 + 203 + 3 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 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, 16690154658 + ... + 16690160478.

It is an arithmetic number, because the mean of its divisors is an integer number (495728352015).

Almost surely, 2^{97153407203328} 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 97153407203328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166564726277040).

97153407203328 is an abundant number, since it is smaller than the sum of its proper divisors (235976045350752).

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

97153407203328 is an equidigital number, since it uses as much as digits as its factorization.

97153407203328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7465 (or 7430 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 97153407203328 in words is "ninety-seven trillion, one hundred fifty-three billion, four hundred seven million, two hundred three thousand, three hundred twenty-eight".