99821460672 has 336 divisors, whose sum is σ = 313536787200. Its totient is φ = 31401354240.

The previous prime is 99821460587. The next prime is 99821460677. The reversal of 99821460672 is 27606412899.

99821460672 is a `hidden beast` number, since 9 + 9 + 8 + 21 + 4 + 606 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (99821460677) 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 47 ways as a sum of consecutive naturals, for example, 106079722 + ... + 106080662.

It is an arithmetic number, because the mean of its divisors is an integer number (933145200).

Almost surely, 2^99821460672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99821460672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156768393600).

99821460672 is an abundant number, since it is smaller than the sum of its proper divisors (213715326528).

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

99821460672 is a wasteful number, since it uses less digits than its factorization.

99821460672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 99821460672 in words is "ninety-nine billion, eight hundred twenty-one million, four hundred sixty thousand, six hundred seventy-two".