97899151360000 has 285 divisors, whose sum is σ = 244986020754541. Its totient is φ = 39109001216000.

The previous prime is 97899151359983. The next prime is 97899151360037. The reversal of 97899151360000 is 6315199879.

The square root of 97899151360000 is 9894400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 97818113212416 + 81038147584 = 9890304^2 + 284672^2 .

It is a Duffinian 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 14 ways as a sum of consecutive naturals, for example, 126648319614 + ... + 126648320386.

Almost surely, 2^{97899151360000} is an apocalyptic number.

97899151360000 is the 9894400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97899151360000

97899151360000 is an abundant number, since it is smaller than the sum of its proper divisors (147086869394541).

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

97899151360000 is an frugal number, since it uses more digits than its factorization.

97899151360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 58.

The spelling of 97899151360000 in words is "ninety-seven trillion, eight hundred ninety-nine billion, one hundred fifty-one million, three hundred sixty thousand".