1815112022400 has 768 divisors, whose sum is σ = 6751755360000. Its totient is φ = 482094581760.

The previous prime is 1815112022389. The next prime is 1815112022407. The reversal of 1815112022400 is 42202115181.

1815112022400 is a `hidden beast` number, since 1 + 8 + 1 + 51 + 1 + 202 + 2 + 400 = 666.

It is a super-2 number, since 2×1815112022400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1815112022407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2932329291 + ... + 2932329909.

It is an arithmetic number, because the mean of its divisors is an integer number (8791348125).

Almost surely, 2^{1815112022400} is an apocalyptic number.

1815112022400 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 1815112022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3375877680000).

1815112022400 is an abundant number, since it is smaller than the sum of its proper divisors (4936643337600).

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

1815112022400 is an frugal number, since it uses more digits than its factorization.

1815112022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

Adding to 1815112022400 its reverse (42202115181), we get a palindrome (1857314137581).

The spelling of 1815112022400 in words is "one trillion, eight hundred fifteen billion, one hundred twelve million, twenty-two thousand, four hundred".