99951505200 has 300 divisors, whose sum is σ = 359132473128. Its totient is φ = 26622950400.

The previous prime is 99951505177. The next prime is 99951505201. The reversal of 99951505200 is 250515999.

99951505200 is a `hidden beast` number, since 9 + 99 + 51 + 505 + 2 + 0 + 0 = 666.

99951505200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is not an unprimeable number, because it can be changed into a prime (99951505201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 47983359 + ... + 47985441.

Almost surely, 2^99951505200 is an apocalyptic number.

99951505200 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 99951505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179566236564).

99951505200 is an abundant number, since it is smaller than the sum of its proper divisors (259180967928).

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

99951505200 is a wasteful number, since it uses less digits than its factorization.

99951505200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 182250, while the sum is 45.

The spelling of 99951505200 in words is "ninety-nine billion, nine hundred fifty-one million, five hundred five thousand, two hundred".