99906882480 has 240 divisors, whose sum is σ = 356085512640. Its totient is φ = 25016205312.

The previous prime is 99906882451. The next prime is 99906882541. The reversal of 99906882480 is 8428860999.

99906882480 is a `hidden beast` number, since 9 + 9 + 90 + 68 + 8 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5364064 + ... + 5382656.

It is an arithmetic number, because the mean of its divisors is an integer number (1483689636).

Almost surely, 2^99906882480 is an apocalyptic number.

99906882480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a pronic number, being equal to 316080×316081.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99906882480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178042756320).

99906882480 is an abundant number, since it is smaller than the sum of its proper divisors (256178630160).

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

99906882480 is a wasteful number, since it uses less digits than its factorization.

99906882480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19068 (or 19059 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 99906882480 in words is "ninety-nine billion, nine hundred six million, eight hundred eighty-two thousand, four hundred eighty".