97363695803040 has 432 divisors, whose sum is σ = 354339940441032. Its totient is φ = 25261921806336.

The previous prime is 97363695803009. The next prime is 97363695803041. The reversal of 97363695803040 is 4030859636379.

97363695803040 is a `hidden beast` number, since 9 + 7 + 3 + 6 + 3 + 6 + 9 + 580 + 3 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 97135926331536 + 227769471504 = 9855756^2 + 477252^2 .

It is a tau number, because it is divible by the number of its divisors (432).

It is not an unprimeable number, because it can be changed into a prime (97363695803041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37587762 + ... + 40094478.

Almost surely, 2^{97363695803040} is an apocalyptic number.

97363695803040 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 97363695803040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177169970220516).

97363695803040 is an abundant number, since it is smaller than the sum of its proper divisors (256976244637992).

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

97363695803040 is an equidigital number, since it uses as much as digits as its factorization.

97363695803040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506793 (or 2506764 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 63.

The spelling of 97363695803040 in words is "ninety-seven trillion, three hundred sixty-three billion, six hundred ninety-five million, eight hundred three thousand, forty".