78181341907200 has 3456 divisors, whose sum is σ = 330725285560320. Its totient is φ = 15866324582400.

The previous prime is 78181341907111. The next prime is 78181341907237. The reversal of 78181341907200 is 270914318187.

It is a super-2 number, since 2×78181341907200² (a number of 29 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 479640134319 + ... + 479640134481.

Almost surely, 2^{78181341907200} is an apocalyptic number.

78181341907200 is a gapful number since it is divisible by the number (70) 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 78181341907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165362642780160).

78181341907200 is an abundant number, since it is smaller than the sum of its proper divisors (252543943653120).

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

78181341907200 is a wasteful number, since it uses less digits than its factorization.

78181341907200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 51.

The spelling of 78181341907200 in words is "seventy-eight trillion, one hundred eighty-one billion, three hundred forty-one million, nine hundred seven thousand, two hundred".