78850634428160 has 288 divisors, whose sum is σ = 216879360026112. Its totient is φ = 26906317701120.

The previous prime is 78850634428129. The next prime is 78850634428169. The reversal of 78850634428160 is 6182443605887.

It is a junction number, because it is equal to n+sod(n) for n = 78850634428093 and 78850634428102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78850634428169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1740878474 + ... + 1740923766.

It is an arithmetic number, because the mean of its divisors is an integer number (753053333424).

Almost surely, 2^{78850634428160} is an apocalyptic number.

78850634428160 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 78850634428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108439680013056).

78850634428160 is an abundant number, since it is smaller than the sum of its proper divisors (138028725597952).

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

78850634428160 is a wasteful number, since it uses less digits than its factorization.

78850634428160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46239 (or 46225 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 62.

The spelling of 78850634428160 in words is "seventy-eight trillion, eight hundred fifty billion, six hundred thirty-four million, four hundred twenty-eight thousand, one hundred sixty".