99951454800 has 180 divisors, whose sum is σ = 346993174944. Its totient is φ = 26643436800.

The previous prime is 99951454769. The next prime is 99951454819. The reversal of 99951454800 is 845415999.

99951454800 is a `hidden beast` number, since 9 + 9 + 95 + 1 + 4 + 548 + 0 + 0 = 666.

It is a Cunningham number, because it is equal to 316151²-1.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15804439 + ... + 15810761.

Almost surely, 2^99951454800 is an apocalyptic number.

99951454800 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 99951454800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173496587472).

99951454800 is an abundant number, since it is smaller than the sum of its proper divisors (247041720144).

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

99951454800 is a wasteful number, since it uses less digits than its factorization.

99951454800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10738 (or 10724 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 99951454800 in words is "ninety-nine billion, nine hundred fifty-one million, four hundred fifty-four thousand, eight hundred".