80252285876100 has 432 divisors, whose sum is σ = 291515210582400. Its totient is φ = 18895519019520.

The previous prime is 80252285876083. The next prime is 80252285876117. The reversal of 80252285876100 is 167858225208.

80252285876100 is a `hidden beast` number, since 8 + 0 + 2 + 52 + 2 + 8 + 587 + 6 + 1 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (80252285876083) and next prime (80252285876117).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6671506 + ... + 14318294.

It is an arithmetic number, because the mean of its divisors is an integer number (674803728200).

Almost surely, 2^{80252285876100} 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 80252285876100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145757605291200).

80252285876100 is an abundant number, since it is smaller than the sum of its proper divisors (211262924706300).

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

80252285876100 is a wasteful number, since it uses less digits than its factorization.

80252285876100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7646861 (or 7646835 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 80252285876100 in words is "eighty trillion, two hundred fifty-two billion, two hundred eighty-five million, eight hundred seventy-six thousand, one hundred".