1005508896000 has 576 divisors, whose sum is σ = 3827541419520. Its totient is φ = 229190860800.

The previous prime is 1005508895939. The next prime is 1005508896031. The reversal of 1005508896000 is 6988055001.

It is a super-2 number, since 2×1005508896000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266782116 + ... + 266785884.

Almost surely, 2^{1005508896000} is an apocalyptic number.

1005508896000 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 1005508896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913770709760).

1005508896000 is an abundant number, since it is smaller than the sum of its proper divisors (2822032523520).

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

1005508896000 is an equidigital number, since it uses as much as digits as its factorization.

1005508896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4207 (or 4183 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The spelling of 1005508896000 in words is "one trillion, five billion, five hundred eight million, eight hundred ninety-six thousand".