78731883187200 has 528 divisors, whose sum is σ = 293197900561920. Its totient is φ = 20699449344000.

The previous prime is 78731883187093. The next prime is 78731883187229. The reversal of 78731883187200 is 278138813787.

78731883187200 is a `hidden beast` number, since 7 + 8 + 7 + 31 + 88 + 318 + 7 + 200 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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, 48273045 + ... + 49877355.

Almost surely, 2^{78731883187200} 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 78731883187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146598950280960).

78731883187200 is an abundant number, since it is smaller than the sum of its proper divisors (214466017374720).

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

78731883187200 is a wasteful number, since it uses less digits than its factorization.

78731883187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604421 (or 1604392 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 63.

The spelling of 78731883187200 in words is "seventy-eight trillion, seven hundred thirty-one billion, eight hundred eighty-three million, one hundred eighty-seven thousand, two hundred".