18102807122400 has 3456 divisors, whose sum is σ = 92072638973952. Its totient is φ = 3220439040000.

The previous prime is 18102807122369. The next prime is 18102807122423. The reversal of 18102807122400 is 422170820181.

It is a happy number.

18102807122400 is a `hidden beast` number, since 1 + 8 + 102 + 80 + 71 + 2 + 2 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 8699089360 + ... + 8699091440.

It is an arithmetic number, because the mean of its divisors is an integer number (26641388592).

Almost surely, 2^{18102807122400} is an apocalyptic number.

18102807122400 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 18102807122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46036319486976).

18102807122400 is an abundant number, since it is smaller than the sum of its proper divisors (73969831851552).

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

18102807122400 is a wasteful number, since it uses less digits than its factorization.

18102807122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

Adding to 18102807122400 its reverse (422170820181), we get a palindrome (18524977942581).

The spelling of 18102807122400 in words is "eighteen trillion, one hundred two billion, eight hundred seven million, one hundred twenty-two thousand, four hundred".