1005522400000 has 108 divisors (see below), whose sum is σ = 2508737649264. Its totient is φ = 402208640000.

The previous prime is 1005522399977. The next prime is 1005522400033. The reversal of 1005522400000 is 42255001.

It is a super-2 number, since 2×1005522400000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171549 + ... + 1428451.

It is an arithmetic number, because the mean of its divisors is an integer number (23229052308).

Almost surely, 2^{1005522400000} is an apocalyptic number.

1005522400000 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 1005522400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254368824632).

1005522400000 is an abundant number, since it is smaller than the sum of its proper divisors (1503215249264).

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

1005522400000 is an frugal number, since it uses more digits than its factorization.

1005522400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256944 (or 1256910 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

Adding to 1005522400000 its reverse (42255001), we get a palindrome (1005564655001).

The spelling of 1005522400000 in words is "one trillion, five billion, five hundred twenty-two million, four hundred thousand".