78871152192000 has 1280 divisors, whose sum is σ = 304911233003520. Its totient is φ = 17714847744000.

The previous prime is 78871152191977. The next prime is 78871152192011. The reversal of 78871152192000 is 29125117887.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48715967191 + ... + 48715968809.

It is an arithmetic number, because the mean of its divisors is an integer number (238211900784).

Almost surely, 2^{78871152192000} is an apocalyptic number.

78871152192000 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 78871152192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152455616501760).

78871152192000 is an abundant number, since it is smaller than the sum of its proper divisors (226040080811520).

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

78871152192000 is a wasteful number, since it uses less digits than its factorization.

78871152192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 51.

The spelling of 78871152192000 in words is "seventy-eight trillion, eight hundred seventy-one billion, one hundred fifty-two million, one hundred ninety-two thousand".