80388367315200 has 5184 divisors, whose sum is σ = 379089070080000. Its totient is φ = 16761223987200.

The previous prime is 80388367315199. The next prime is 80388367315369. The reversal of 80388367315200 is 251376388308.

80388367315200 is a `hidden beast` number, since 8 + 0 + 3 + 8 + 83 + 6 + 7 + 31 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 403961644701 + ... + 403961644899.

Almost surely, 2^{80388367315200} is an apocalyptic number.

80388367315200 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 80388367315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189544535040000).

80388367315200 is an abundant number, since it is smaller than the sum of its proper divisors (298700702764800).

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

80388367315200 is a wasteful number, since it uses less digits than its factorization.

80388367315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 80388367315200 in words is "eighty trillion, three hundred eighty-eight billion, three hundred sixty-seven million, three hundred fifteen thousand, two hundred".