78111334858752 has 1440 divisors, whose sum is σ = 269149197395232. Its totient is φ = 22455364091904.

The previous prime is 78111334858721. The next prime is 78111334858759. The reversal of 78111334858752 is 25785843311187.

78111334858752 is a `hidden beast` number, since 7 + 8 + 1 + 1 + 1 + 3 + 3 + 48 + 587 + 5 + 2 = 666.

It is a super-2 number, since 2×78111334858752² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78111334858752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78111334858759) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 570155728828 + ... + 570155728964.

Almost surely, 2^{78111334858752} is an apocalyptic number.

78111334858752 is a gapful number since it is divisible by the number (72) 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 78111334858752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134574598697616).

78111334858752 is an abundant number, since it is smaller than the sum of its proper divisors (191037862536480).

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

78111334858752 is an frugal number, since it uses more digits than its factorization.

78111334858752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 172 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 63.

The spelling of 78111334858752 in words is "seventy-eight trillion, one hundred eleven billion, three hundred thirty-four million, eight hundred fifty-eight thousand, seven hundred fifty-two".