1822125538560 has 288 divisors, whose sum is σ = 5955721777152. Its totient is φ = 474562437120.

The previous prime is 1822125538531. The next prime is 1822125538561. The reversal of 1822125538560 is 658355212281.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1822125538561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87883395 + ... + 87904125.

It is an arithmetic number, because the mean of its divisors is an integer number (20679589504).

Almost surely, 2^{1822125538560} is an apocalyptic number.

1822125538560 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 1822125538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977860888576).

1822125538560 is an abundant number, since it is smaller than the sum of its proper divisors (4133596238592).

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

1822125538560 is a wasteful number, since it uses less digits than its factorization.

1822125538560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21289 (or 21275 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 48.

The spelling of 1822125538560 in words is "one trillion, eight hundred twenty-two billion, one hundred twenty-five million, five hundred thirty-eight thousand, five hundred sixty".