18038131937280 has 3120 divisors, whose sum is σ = 84247035675264. Its totient is φ = 3594646978560.

The previous prime is 18038131937191. The next prime is 18038131937321. The reversal of 18038131937280 is 8273913183081.

It is a happy number.

18038131937280 is a `hidden beast` number, since 1 + 8 + 0 + 381 + 3 + 193 + 72 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 54495866715 + ... + 54495867045.

Almost surely, 2^{18038131937280} is an apocalyptic number.

18038131937280 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 18038131937280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42123517837632).

18038131937280 is an abundant number, since it is smaller than the sum of its proper divisors (66208903737984).

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

18038131937280 is a wasteful number, since it uses less digits than its factorization.

18038131937280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 18038131937280 in words is "eighteen trillion, thirty-eight billion, one hundred thirty-one million, nine hundred thirty-seven thousand, two hundred eighty".