99782710030080 has 4608 divisors, whose sum is σ = 499864471142400. Its totient is φ = 18202912358400.

The previous prime is 99782710030067. The next prime is 99782710030109. The reversal of 99782710030080 is 8003001728799.

99782710030080 is a `hidden beast` number, since 99 + 78 + 2 + 7 + 100 + 300 + 80 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 99782710029999 and 99782710030026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 42660413551 + ... + 42660415889.

It is an arithmetic number, because the mean of its divisors is an integer number (108477532800).

Almost surely, 2^{99782710030080} is an apocalyptic number.

99782710030080 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 99782710030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249932235571200).

99782710030080 is an abundant number, since it is smaller than the sum of its proper divisors (400081761112320).

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

99782710030080 is a wasteful number, since it uses less digits than its factorization.

99782710030080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 99782710030080 in words is "ninety-nine trillion, seven hundred eighty-two billion, seven hundred ten million, thirty thousand, eighty".