97688711737600 has 81 divisors (see below), whose sum is σ = 241796782535637. Its totient is φ = 39075168414720.

The previous prime is 97688711737571. The next prime is 97688711737657. The reversal of 97688711737600 is 673711788679.

The square root of 97688711737600 is 9883760.

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

It can be written as a sum of positive squares in only one way, i.e., 35167936225536 + 62520775512064 = 5930256^2 + 7907008^2 .

It is a super-2 number, since 2×97688711737600² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 97688711737600.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 790639027 + ... + 790762573.

Almost surely, 2^{97688711737600} is an apocalyptic number.

97688711737600 is the 9883760-th square number.

It is an amenable number.

97688711737600 is an abundant number, since it is smaller than the sum of its proper divisors (144108070798037).

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

97688711737600 is an frugal number, since it uses more digits than its factorization.

97688711737600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247120 (or 123554 counting only the distinct ones).

The product of its (nonzero) digits is 149361408, while the sum is 70.

The spelling of 97688711737600 in words is "ninety-seven trillion, six hundred eighty-eight billion, seven hundred eleven million, seven hundred thirty-seven thousand, six hundred".