18938009122560 has 1152 divisors, whose sum is σ = 78126781824000. Its totient is φ = 4349264855040.

The previous prime is 18938009122493. The next prime is 18938009122603. The reversal of 18938009122560 is 6522190083981.

18938009122560 is a `hidden beast` number, since 1 + 8 + 9 + 380 + 0 + 9 + 1 + 2 + 256 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×18938009122560² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 18938009122497 and 18938009122506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 585050056 + ... + 585082424.

It is an arithmetic number, because the mean of its divisors is an integer number (67818387000).

Almost surely, 2^{18938009122560} is an apocalyptic number.

18938009122560 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 18938009122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39063390912000).

18938009122560 is an abundant number, since it is smaller than the sum of its proper divisors (59188772701440).

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

18938009122560 is an equidigital number, since it uses as much as digits as its factorization.

18938009122560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32441 (or 32409 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 18938009122560 in words is "eighteen trillion, nine hundred thirty-eight billion, nine million, one hundred twenty-two thousand, five hundred sixty".