97216416000 has 1152 divisors, whose sum is σ = 400850311680. Its totient is φ = 23003136000.

The previous prime is 97216415963. The next prime is 97216416047. The reversal of 97216416000 is 61461279.

97216416000 is a `hidden beast` number, since 9 + 7 + 2 + 1 + 6 + 41 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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 127 ways as a sum of consecutive naturals, for example, 503711904 + ... + 503712096.

It is an arithmetic number, because the mean of its divisors is an integer number (347960340).

Almost surely, 2^97216416000 is an apocalyptic number.

97216416000 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 97216416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200425155840).

97216416000 is an abundant number, since it is smaller than the sum of its proper divisors (303633895680).

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

97216416000 is a wasteful number, since it uses less digits than its factorization.

97216416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 97216416000 its reverse (61461279), we get a palindrome (97277877279).

The spelling of 97216416000 in words is "ninety-seven billion, two hundred sixteen million, four hundred sixteen thousand".