1005600161500 has 96 divisors (see below), whose sum is σ = 2397963439872. Its totient is φ = 365356040000.

The previous prime is 1005600161479. The next prime is 1005600161537. The reversal of 1005600161500 is 51610065001.

It is a super-2 number, since 2×1005600161500² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6317895 + ... + 6475105.

It is an arithmetic number, because the mean of its divisors is an integer number (24978785832).

Almost surely, 2^{1005600161500} is an apocalyptic number.

1005600161500 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 1005600161500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198981719936).

1005600161500 is an abundant number, since it is smaller than the sum of its proper divisors (1392363278372).

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

1005600161500 is a wasteful number, since it uses less digits than its factorization.

1005600161500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158404 (or 158392 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 1005600161500 in words is "one trillion, five billion, six hundred million, one hundred sixty-one thousand, five hundred".