97903202342400 has 5040 divisors, whose sum is σ = 461785145421600. Its totient is φ = 20542375526400.

The previous prime is 97903202342389. The next prime is 97903202342419. The reversal of 97903202342400 is 424320230979.

97903202342400 is a `hidden beast` number, since 9 + 7 + 9 + 0 + 3 + 2 + 0 + 234 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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

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 503 ways as a sum of consecutive naturals, for example, 540901670310 + ... + 540901670490.

It is an arithmetic number, because the mean of its divisors is an integer number (91624036790).

Almost surely, 2^{97903202342400} is an apocalyptic number.

97903202342400 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 97903202342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230892572710800).

97903202342400 is an abundant number, since it is smaller than the sum of its proper divisors (363881943079200).

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

97903202342400 is an equidigital number, since it uses as much as digits as its factorization.

97903202342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 97903202342400 in words is "ninety-seven trillion, nine hundred three billion, two hundred two million, three hundred forty-two thousand, four hundred".