99233777965056 has 1152 divisors, whose sum is σ = 337903056691200. Its totient is φ = 25706039869440.

The previous prime is 99233777965033. The next prime is 99233777965093. The reversal of 99233777965056 is 65056977733299.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37918905060 + ... + 37918907676.

It is an arithmetic number, because the mean of its divisors is an integer number (293318625600).

Almost surely, 2^{99233777965056} is an apocalyptic number.

99233777965056 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 99233777965056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168951528345600).

99233777965056 is an abundant number, since it is smaller than the sum of its proper divisors (238669278726144).

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

99233777965056 is a wasteful number, since it uses less digits than its factorization.

99233777965056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2943 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 4050761400, while the sum is 78.

The spelling of 99233777965056 in words is "ninety-nine trillion, two hundred thirty-three billion, seven hundred seventy-seven million, nine hundred sixty-five thousand, fifty-six".