97351329600000 has 3840 divisors, whose sum is σ = 451574447385600. Its totient is φ = 20189675520000.

The previous prime is 97351329599959. The next prime is 97351329600013. The reversal of 97351329600000 is 692315379.

97351329600000 is a `hidden beast` number, since 9 + 7 + 3 + 5 + 1 + 32 + 9 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 149083199674 + ... + 149083200326.

It is an arithmetic number, because the mean of its divisors is an integer number (117597512340).

Almost surely, 2^{97351329600000} is an apocalyptic number.

97351329600000 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 97351329600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225787223692800).

97351329600000 is an abundant number, since it is smaller than the sum of its proper divisors (354223117785600).

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

97351329600000 is an equidigital number, since it uses as much as digits as its factorization.

97351329600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 97351329600000 in words is "ninety-seven trillion, three hundred fifty-one billion, three hundred twenty-nine million, six hundred thousand".