1005662582400 has 768 divisors, whose sum is σ = 4000451097600. Its totient is φ = 216915148800.

The previous prime is 1005662582389. The next prime is 1005662582401. The reversal of 1005662582400 is 42852665001.

It is a super-2 number, since 2×1005662582400² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005662582401) 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, 358779399 + ... + 358782201.

It is an arithmetic number, because the mean of its divisors is an integer number (5208920700).

Almost surely, 2^{1005662582400} is an apocalyptic number.

1005662582400 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 1005662582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000225548800).

1005662582400 is an abundant number, since it is smaller than the sum of its proper divisors (2994788515200).

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

1005662582400 is a wasteful number, since it uses less digits than its factorization.

1005662582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3137 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 1005662582400 in words is "one trillion, five billion, six hundred sixty-two million, five hundred eighty-two thousand, four hundred".