78105733027056 has 800 divisors, whose sum is σ = 274784756400000. Its totient is φ = 20941350764544.

The previous prime is 78105733027051. The next prime is 78105733027171. The reversal of 78105733027056 is 65072033750187.

It is a happy number.

78105733027056 is a `hidden beast` number, since 7 + 8 + 10 + 573 + 3 + 0 + 2 + 7 + 0 + 56 = 666.

It is a super-2 number, since 2×78105733027056² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 78105733026993 and 78105733027011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78105733027051) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10211230720 + ... + 10211238368.

It is an arithmetic number, because the mean of its divisors is an integer number (343480945500).

Almost surely, 2^{78105733027056} 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 78105733027056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137392378200000).

78105733027056 is an abundant number, since it is smaller than the sum of its proper divisors (196679023372944).

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

78105733027056 is a wasteful number, since it uses less digits than its factorization.

78105733027056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8791 (or 8776 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 78105733027056 in words is "seventy-eight trillion, one hundred five billion, seven hundred thirty-three million, twenty-seven thousand, fifty-six".