111878010864480 has 288 divisors, whose sum is σ = 409968433455840. Its totient is φ = 25571153879040.

The previous prime is 111878010864469. The next prime is 111878010864481. The reversal of 111878010864480 is 84468010878111.

111878010864480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 111878010864480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111878010864481) 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, 762656740 + ... + 762803420.

It is an arithmetic number, because the mean of its divisors is an integer number (1423501505055).

Almost surely, 2^{111878010864480} is an apocalyptic number.

111878010864480 is a gapful number since it is divisible by the number (10) 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 111878010864480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204984216727920).

111878010864480 is an abundant number, since it is smaller than the sum of its proper divisors (298090422591360).

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

111878010864480 is a wasteful number, since it uses less digits than its factorization.

111878010864480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179142 (or 179127 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 57.

The spelling of 111878010864480 in words is "one hundred eleven trillion, eight hundred seventy-eight billion, ten million, eight hundred sixty-four thousand, four hundred eighty".