17778218250072 has 128 divisors (see below), whose sum is σ = 51309091008000. Its totient is φ = 5028094848000.

The previous prime is 17778218250061. The next prime is 17778218250103. The reversal of 17778218250072 is 27005281287771.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 17778218249994 and 17778218250021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78771547 + ... + 78996917.

It is an arithmetic number, because the mean of its divisors is an integer number (400852273500).

Almost surely, 2^{17778218250072} is an apocalyptic number.

17778218250072 is a gapful number since it is divisible by the number (12) 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 17778218250072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25654545504000).

17778218250072 is an abundant number, since it is smaller than the sum of its proper divisors (33530872757928).

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

17778218250072 is a wasteful number, since it uses less digits than its factorization.

17778218250072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230137 (or 230133 counting only the distinct ones).

The product of its (nonzero) digits is 6146560, while the sum is 57.

The spelling of 17778218250072 in words is "seventeen trillion, seven hundred seventy-eight billion, two hundred eighteen million, two hundred fifty thousand, seventy-two".