18880266240 has 576 divisors, whose sum is σ = 73987240320. Its totient is φ = 4529848320.

The previous prime is 18880266211. The next prime is 18880266241. The reversal of 18880266240 is 4266208881.

18880266240 is a `hidden beast` number, since 18 + 8 + 8 + 0 + 2 + 6 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18880266241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194641872 + ... + 194641968.

It is an arithmetic number, because the mean of its divisors is an integer number (128450070).

Almost surely, 2^18880266240 is an apocalyptic number.

18880266240 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 18880266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36993620160).

18880266240 is an abundant number, since it is smaller than the sum of its proper divisors (55106974080).

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

18880266240 is an frugal number, since it uses more digits than its factorization.

18880266240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 18880266240 in words is "eighteen billion, eight hundred eighty million, two hundred sixty-six thousand, two hundred forty".