78020038886688 has 288 divisors, whose sum is σ = 224641651957632. Its totient is φ = 25683240960000.

The previous prime is 78020038886683. The next prime is 78020038886711. The reversal of 78020038886688 is 88668883002087.

78020038886688 is a `hidden beast` number, since 78 + 0 + 20 + 0 + 388 + 86 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (78020038886683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19500132688 + ... + 19500136688.

It is an arithmetic number, because the mean of its divisors is an integer number (780005735964).

Almost surely, 2^{78020038886688} 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 78020038886688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112320825978816).

78020038886688 is an abundant number, since it is smaller than the sum of its proper divisors (146621613070944).

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

78020038886688 is a wasteful number, since it uses less digits than its factorization.

78020038886688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5768 (or 5757 counting only the distinct ones).

The product of its (nonzero) digits is 396361728, while the sum is 72.

The spelling of 78020038886688 in words is "seventy-eight trillion, twenty billion, thirty-eight million, eight hundred eighty-six thousand, six hundred eighty-eight".