78189142960 has 80 divisors (see below), whose sum is σ = 186891377472. Its totient is φ = 30399667200.

The previous prime is 78189142951. The next prime is 78189142963. The reversal of 78189142960 is 6924198187.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×78189142960² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78189142963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3038950 + ... + 3064570.

Almost surely, 2^78189142960 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 78189142960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93445688736).

78189142960 is an abundant number, since it is smaller than the sum of its proper divisors (108702234512).

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

78189142960 is a wasteful number, since it uses less digits than its factorization.

78189142960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26702 (or 26696 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 55.

The spelling of 78189142960 in words is "seventy-eight billion, one hundred eighty-nine million, one hundred forty-two thousand, nine hundred sixty".