1556085000 has 160 divisors (see below), whose sum is σ = 4893308640. Its totient is φ = 412224000.

The previous prime is 1556084969. The next prime is 1556085001. The reversal of 1556085000 is 5806551.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1556085001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3404772 + ... + 3405228.

It is an arithmetic number, because the mean of its divisors is an integer number (30583179).

Almost surely, 2^1556085000 is an apocalyptic number.

1556085000 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 1556085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446654320).

1556085000 is an abundant number, since it is smaller than the sum of its proper divisors (3337223640).

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

1556085000 is a wasteful number, since it uses less digits than its factorization.

1556085000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 1556085000 is about 39447.2432496873. The cubic root of 1556085000 is about 1158.8069878842.

The spelling of 1556085000 in words is "one billion, five hundred fifty-six million, eighty-five thousand".