97415396956800 has 3456 divisors, whose sum is σ = 417800002838400. Its totient is φ = 21520583884800.

The previous prime is 97415396956769. The next prime is 97415396956817. The reversal of 97415396956800 is 865969351479.

97415396956800 is a `hidden beast` number, since 9 + 7 + 4 + 1 + 53 + 9 + 6 + 9 + 568 + 0 + 0 = 666.

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

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 431 ways as a sum of consecutive naturals, for example, 120117628395 + ... + 120117629205.

It is an arithmetic number, because the mean of its divisors is an integer number (120891204525).

Almost surely, 2^{97415396956800} is an apocalyptic number.

97415396956800 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 97415396956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208900001419200).

97415396956800 is an abundant number, since it is smaller than the sum of its proper divisors (320384605881600).

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

97415396956800 is a wasteful number, since it uses less digits than its factorization.

97415396956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 97415396956800 in words is "ninety-seven trillion, four hundred fifteen billion, three hundred ninety-six million, nine hundred fifty-six thousand, eight hundred".