99876523410 has 96 divisors (see below), whose sum is σ = 263305486080. Its totient is φ = 26262662400.

The previous prime is 99876523403. The next prime is 99876523427. The reversal of 99876523410 is 1432567899.

99876523410 is a `hidden beast` number, since 9 + 9 + 8 + 76 + 523 + 41 + 0 = 666.

It is a Curzon number.

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, 5757550 + ... + 5774870.

It is an arithmetic number, because the mean of its divisors is an integer number (2742765480).

It is a 2-persistent number, because it is pandigital, and so is 2⋅99876523410 = 199753046820, but 3⋅99876523410 = 299629570230 is not.

Almost surely, 2^99876523410 is an apocalyptic number.

99876523410 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 99876523410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131652743040).

99876523410 is an abundant number, since it is smaller than the sum of its proper divisors (163428962670).

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

99876523410 is a wasteful number, since it uses less digits than its factorization.

99876523410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18224 (or 18221 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

It can be divided in two parts, 99876 and 523410, that added together give a triangular number (623286 = T₁₁₁₆).

The spelling of 99876523410 in words is "ninety-nine billion, eight hundred seventy-six million, five hundred twenty-three thousand, four hundred ten".