1561760000 has 180 divisors, whose sum is σ = 4003680912. Its totient is φ = 607488000.

The previous prime is 1561759951. The next prime is 1561760033. The reversal of 1561760000 is 671651.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6879887 + ... + 6880113.

Almost surely, 2^1561760000 is an apocalyptic number.

1561760000 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 1561760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001840456).

1561760000 is an abundant number, since it is smaller than the sum of its proper divisors (2441920912).

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

1561760000 is an frugal number, since it uses more digits than its factorization.

1561760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 1561760000 is about 39519.1093017037. The cubic root of 1561760000 is about 1160.2139914370.

The spelling of 1561760000 in words is "one billion, five hundred sixty-one million, seven hundred sixty thousand".