18211322793600 has 1344 divisors, whose sum is σ = 72660331584000. Its totient is φ = 4494951014400.

The previous prime is 18211322793533. The next prime is 18211322793607. The reversal of 18211322793600 is 639722311281.

It is a happy number.

18211322793600 is a `hidden beast` number, since 1 + 8 + 2 + 1 + 1 + 32 + 2 + 7 + 9 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (18211322793607) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1663280926 + ... + 1663291874.

Almost surely, 2^{18211322793600} is an apocalyptic number.

18211322793600 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 18211322793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36330165792000).

18211322793600 is an abundant number, since it is smaller than the sum of its proper divisors (54449008790400).

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

18211322793600 is a wasteful number, since it uses less digits than its factorization.

18211322793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11045 (or 11013 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 18211322793600 in words is "eighteen trillion, two hundred eleven billion, three hundred twenty-two million, seven hundred ninety-three thousand, six hundred".