97718400000 has 1320 divisors, whose sum is σ = 406335477240. Its totient is φ = 23224320000.

The previous prime is 97718399959. The next prime is 97718400037. The reversal of 97718400000 is 481779.

It can be written as a sum of positive squares in 12 ways, for example, as 95673913344 + 2044486656 = 309312^2 + 45216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3369599986 + ... + 3369600014.

It is an arithmetic number, because the mean of its divisors is an integer number (307829907).

Almost surely, 2^97718400000 is an apocalyptic number.

97718400000 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 97718400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203167738620).

97718400000 is an abundant number, since it is smaller than the sum of its proper divisors (308617077240).

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

97718400000 is an equidigital number, since it uses as much as digits as its factorization.

97718400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

Adding to 97718400000 its reverse (481779), we get a palindrome (97718881779).

The spelling of 97718400000 in words is "ninety-seven billion, seven hundred eighteen million, four hundred thousand".