99495475200 has 864 divisors, whose sum is σ = 403672913280. Its totient is φ = 24086937600.

The previous prime is 99495475199. The next prime is 99495475271. The reversal of 99495475200 is 257459499.

99495475200 is a `hidden beast` number, since 9 + 9 + 49 + 547 + 52 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136857237 + ... + 136857963.

It is an arithmetic number, because the mean of its divisors is an integer number (467214020).

Almost surely, 2^99495475200 is an apocalyptic number.

99495475200 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 99495475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201836456640).

99495475200 is an abundant number, since it is smaller than the sum of its proper divisors (304177438080).

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

99495475200 is a wasteful number, since it uses less digits than its factorization.

99495475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 99495475200 in words is "ninety-nine billion, four hundred ninety-five million, four hundred seventy-five thousand, two hundred".