78569007906816 has 1280 divisors, whose sum is σ = 284709205440000. Its totient is φ = 21092035461120.

The previous prime is 78569007906811. The next prime is 78569007906859. The reversal of 78569007906816 is 61860970096587.

78569007906816 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×78569007906816² (a number of 29 digits) contains 22 as substring.

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 (78569007906811) 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, 46244265135 + ... + 46244266833.

It is an arithmetic number, because the mean of its divisors is an integer number (222429066750).

Almost surely, 2^{78569007906816} is an apocalyptic number.

78569007906816 is a gapful number since it is divisible by the number (76) 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 78569007906816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142354602720000).

78569007906816 is an abundant number, since it is smaller than the sum of its proper divisors (206140197533184).

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

78569007906816 is a wasteful number, since it uses less digits than its factorization.

78569007906816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 78569007906816 in words is "seventy-eight trillion, five hundred sixty-nine billion, seven million, nine hundred six thousand, eight hundred sixteen".