88082830100460 has 192 divisors, whose sum is σ = 279685250449920. Its totient is φ = 20533242562560.

The previous prime is 88082830100453. The next prime is 88082830100471. The reversal of 88082830100460 is 6400103828088.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39385264 + ... + 41561576.

It is an arithmetic number, because the mean of its divisors is an integer number (1456694012760).

Almost surely, 2^{88082830100460} 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 88082830100460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139842625224960).

88082830100460 is an abundant number, since it is smaller than the sum of its proper divisors (191602420349460).

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

88082830100460 is a wasteful number, since it uses less digits than its factorization.

88082830100460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179088 (or 2179086 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 88082830100460 in words is "eighty-eight trillion, eighty-two billion, eight hundred thirty million, one hundred thousand, four hundred sixty".