99532465200 has 1080 divisors, whose sum is σ = 435766372560. Its totient is φ = 21511526400.

The previous prime is 99532465189. The next prime is 99532465229. The reversal of 99532465200 is 256423599.

99532465200 is a `hidden beast` number, since 9 + 95 + 32 + 4 + 6 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×99532465200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 191040940 + ... + 191041460.

It is an arithmetic number, because the mean of its divisors is an integer number (403487382).

Almost surely, 2^99532465200 is an apocalyptic number.

99532465200 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 99532465200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217883186280).

99532465200 is an abundant number, since it is smaller than the sum of its proper divisors (336233907360).

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

99532465200 is a wasteful number, since it uses less digits than its factorization.

99532465200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

Adding to 99532465200 its reverse (256423599), we get a palindrome (99788888799).

The spelling of 99532465200 in words is "ninety-nine billion, five hundred thirty-two million, four hundred sixty-five thousand, two hundred".