18825413760 has 576 divisors, whose sum is σ = 70929967680. Its totient is φ = 4597383168.

The previous prime is 18825413729. The next prime is 18825413821. The reversal of 18825413760 is 6731452881.

18825413760 is a `hidden beast` number, since 18 + 8 + 2 + 541 + 37 + 60 = 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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71579389 + ... + 71579651.

It is an arithmetic number, because the mean of its divisors is an integer number (123142305).

Almost surely, 2^18825413760 is an apocalyptic number.

18825413760 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 18825413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35464983840).

18825413760 is an abundant number, since it is smaller than the sum of its proper divisors (52104553920).

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

18825413760 is a wasteful number, since it uses less digits than its factorization.

18825413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 18825413760 in words is "eighteen billion, eight hundred twenty-five million, four hundred thirteen thousand, seven hundred sixty".