97677232531200 has 972 divisors, whose sum is σ = 408362489877888. Its totient is φ = 22209210777600.

The previous prime is 97677232531051. The next prime is 97677232531201. The reversal of 97677232531200 is 213523277679.

It is a happy number.

97677232531200 is a `hidden beast` number, since 9 + 7 + 6 + 7 + 72 + 32 + 531 + 2 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97677232531201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 538987804 + ... + 539168996.

Almost surely, 2^{97677232531200} is an apocalyptic number.

97677232531200 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 97677232531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204181244938944).

97677232531200 is an abundant number, since it is smaller than the sum of its proper divisors (310685257346688).

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

97677232531200 is a wasteful number, since it uses less digits than its factorization.

97677232531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181430 (or 181401 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 97677232531200 in words is "ninety-seven trillion, six hundred seventy-seven billion, two hundred thirty-two million, five hundred thirty-one thousand, two hundred".