99460409794560 has 2240 divisors, whose sum is σ = 388191604331520. Its totient is φ = 24379962163200.

The previous prime is 99460409794523. The next prime is 99460409794573. The reversal of 99460409794560 is 6549790406499.

99460409794560 is a `hidden beast` number, since 9 + 9 + 4 + 60 + 40 + 9 + 79 + 456 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 658678210485 + ... + 658678210635.

Almost surely, 2^{99460409794560} is an apocalyptic number.

99460409794560 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 99460409794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194095802165760).

99460409794560 is an abundant number, since it is smaller than the sum of its proper divisors (288731194536960).

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

99460409794560 is an frugal number, since it uses more digits than its factorization.

99460409794560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 99460409794560 in words is "ninety-nine trillion, four hundred sixty billion, four hundred nine million, seven hundred ninety-four thousand, five hundred sixty".