18270125532000 has 768 divisors, whose sum is σ = 70082741514240. Its totient is φ = 4614001920000.

The previous prime is 18270125531969. The next prime is 18270125532007. The reversal of 18270125532000 is 23552107281.

18270125532000 is a `hidden beast` number, since 1 + 8 + 2 + 70 + 12 + 553 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18270125532007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 250847589 + ... + 250920411.

It is an arithmetic number, because the mean of its divisors is an integer number (91253569680).

Almost surely, 2^{18270125532000} is an apocalyptic number.

18270125532000 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 18270125532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35041370757120).

18270125532000 is an abundant number, since it is smaller than the sum of its proper divisors (51812615982240).

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

18270125532000 is a wasteful number, since it uses less digits than its factorization.

18270125532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72981 (or 72957 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Adding to 18270125532000 its reverse (23552107281), we get a palindrome (18293677639281).

The spelling of 18270125532000 in words is "eighteen trillion, two hundred seventy billion, one hundred twenty-five million, five hundred thirty-two thousand".