97765785216 has 384 divisors, whose sum is σ = 324596395200. Its totient is φ = 28931696640.

The previous prime is 97765785191. The next prime is 97765785233. The reversal of 97765785216 is 61258756779.

97765785216 is a `hidden beast` number, since 9 + 7 + 7 + 6 + 578 + 52 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17978850 + ... + 17984286.

Almost surely, 2^97765785216 is an apocalyptic number.

97765785216 is a gapful number since it is divisible by the number (96) 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 97765785216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162298197600).

97765785216 is an abundant number, since it is smaller than the sum of its proper divisors (226830609984).

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

97765785216 is a wasteful number, since it uses less digits than its factorization.

97765785216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5525 (or 5496 counting only the distinct ones).

The product of its digits is 44452800, while the sum is 63.

The spelling of 97765785216 in words is "ninety-seven billion, seven hundred sixty-five million, seven hundred eighty-five thousand, two hundred sixteen".