111859820544 has 192 divisors, whose sum is σ = 314782977600. Its totient is φ = 35226648576.

The previous prime is 111859820543. The next prime is 111859820561. The reversal of 111859820544 is 445028958111.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 111859820493 and 111859820502.

It is not an unprimeable number, because it can be changed into a prime (111859820543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50545582 + ... + 50547794.

It is an arithmetic number, because the mean of its divisors is an integer number (1639494675).

Almost surely, 2^111859820544 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 111859820544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157391488800).

111859820544 is an abundant number, since it is smaller than the sum of its proper divisors (202923157056).

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

111859820544 is a wasteful number, since it uses less digits than its factorization.

111859820544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 48.

The spelling of 111859820544 in words is "one hundred eleven billion, eight hundred fifty-nine million, eight hundred twenty thousand, five hundred forty-four".