99456528600 has 1152 divisors, whose sum is σ = 408823833600. Its totient is φ = 21349785600.

The previous prime is 99456528581. The next prime is 99456528637. The reversal of 99456528600 is 682565499.

It is a happy number.

99456528600 is a `hidden beast` number, since 9 + 9 + 4 + 5 + 6 + 5 + 28 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1258943361 + ... + 1258943439.

It is an arithmetic number, because the mean of its divisors is an integer number (354881800).

Almost surely, 2^99456528600 is an apocalyptic number.

99456528600 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 99456528600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204411916800).

99456528600 is an abundant number, since it is smaller than the sum of its proper divisors (309367305000).

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

99456528600 is a wasteful number, since it uses less digits than its factorization.

99456528600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

It can be divided in two parts, 994565 and 28600, that added together give a triangular number (1023165 = T₁₄₃₀).

The spelling of 99456528600 in words is "ninety-nine billion, four hundred fifty-six million, five hundred twenty-eight thousand, six hundred".