99772756096 has 192 divisors, whose sum is σ = 223875799560. Its totient is φ = 44012666880.

The previous prime is 99772756081. The next prime is 99772756099. The reversal of 99772756096 is 69065727799.

It can be written as a sum of positive squares in 12 ways, for example, as 11126030400 + 88646725696 = 105480^2 + 297736^2 .

It is a super-2 number, since 2×99772756096² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99772756099) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148250416 + ... + 148251088.

Almost surely, 2^99772756096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99772756096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111937899780).

99772756096 is an abundant number, since it is smaller than the sum of its proper divisors (124103043464).

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

99772756096 is a wasteful number, since it uses less digits than its factorization.

99772756096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 90016920, while the sum is 67.

The spelling of 99772756096 in words is "ninety-nine billion, seven hundred seventy-two million, seven hundred fifty-six thousand, ninety-six".