78852892678560 has 4608 divisors, whose sum is σ = 404855984332800. Its totient is φ = 13412880875520.

The previous prime is 78852892678523. The next prime is 78852892678607. The reversal of 78852892678560 is 6587629825887.

It is a happy number.

78852892678560 is a `hidden beast` number, since 7 + 8 + 8 + 5 + 28 + 9 + 26 + 7 + 8 + 560 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 78852892678560.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 119655375511 + ... + 119655376169.

It is an arithmetic number, because the mean of its divisors is an integer number (87859371600).

Almost surely, 2^{78852892678560} is an apocalyptic number.

78852892678560 is a gapful number since it is divisible by the number (70) 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 78852892678560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202427992166400).

78852892678560 is an abundant number, since it is smaller than the sum of its proper divisors (326003091654240).

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

78852892678560 is a wasteful number, since it uses less digits than its factorization.

78852892678560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 6502809600, while the sum is 81.

The spelling of 78852892678560 in words is "seventy-eight trillion, eight hundred fifty-two billion, eight hundred ninety-two million, six hundred seventy-eight thousand, five hundred sixty".