18880145760 has 384 divisors, whose sum is σ = 71888560128. Its totient is φ = 4073472000.

The previous prime is 18880145759. The next prime is 18880145783. The reversal of 18880145760 is 6754108881.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4268350 + ... + 4272770.

It is an arithmetic number, because the mean of its divisors is an integer number (187209792).

Almost surely, 2^18880145760 is an apocalyptic number.

18880145760 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 18880145760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35944280064).

18880145760 is an abundant number, since it is smaller than the sum of its proper divisors (53008414368).

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

18880145760 is a wasteful number, since it uses less digits than its factorization.

18880145760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4518 (or 4510 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The spelling of 18880145760 in words is "eighteen billion, eight hundred eighty million, one hundred forty-five thousand, seven hundred sixty".