87829906208 has 192 divisors, whose sum is σ = 195611480064. Its totient is φ = 38482560000.

The previous prime is 87829906201. The next prime is 87829906249. The reversal of 87829906208 is 80260992878.

It is not an unprimeable number, because it can be changed into a prime (87829906201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333953885 + ... + 333954147.

It is an arithmetic number, because the mean of its divisors is an integer number (1018809792).

Almost surely, 2^87829906208 is an apocalyptic number.

87829906208 is a gapful number since it is divisible by the number (88) 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 87829906208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97805740032).

87829906208 is an abundant number, since it is smaller than the sum of its proper divisors (107781573856).

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

87829906208 is a wasteful number, since it uses less digits than its factorization.

87829906208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 59.

The spelling of 87829906208 in words is "eighty-seven billion, eight hundred twenty-nine million, nine hundred six thousand, two hundred eight".