80212360082400 has 5184 divisors, whose sum is σ = 381862155257856. Its totient is φ = 16070565888000.

The previous prime is 80212360082341. The next prime is 80212360082411. The reversal of 80212360082400 is 428006321208.

80212360082400 is a `hidden beast` number, since 8 + 0 + 2 + 1 + 2 + 3 + 600 + 8 + 2 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 443162210310 + ... + 443162210490.

It is an arithmetic number, because the mean of its divisors is an integer number (73661681184).

Almost surely, 2^{80212360082400} is an apocalyptic number.

80212360082400 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 80212360082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190931077628928).

80212360082400 is an abundant number, since it is smaller than the sum of its proper divisors (301649795175456).

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

80212360082400 is a wasteful number, since it uses less digits than its factorization.

80212360082400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 80212360082400 in words is "eighty trillion, two hundred twelve billion, three hundred sixty million, eighty-two thousand, four hundred".