80826006775200 has 288 divisors, whose sum is σ = 270472103677440. Its totient is φ = 20949887692800.

The previous prime is 80826006775127. The next prime is 80826006775223. The reversal of 80826006775200 is 257760062808.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87541566 + ... + 88460034.

It is an arithmetic number, because the mean of its divisors is an integer number (939139248880).

Almost surely, 2^{80826006775200} is an apocalyptic number.

80826006775200 is a gapful number since it is divisible by the number (80) 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 80826006775200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135236051838720).

80826006775200 is an abundant number, since it is smaller than the sum of its proper divisors (189646096902240).

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

80826006775200 is a wasteful number, since it uses less digits than its factorization.

80826006775200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919520 (or 919507 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 80826006775200 in words is "eighty trillion, eight hundred twenty-six billion, six million, seven hundred seventy-five thousand, two hundred".