1616560000 has 240 divisors, whose sum is σ = 4449919320. Its totient is φ = 584320000.

The previous prime is 1616559949. The next prime is 1616560027. The reversal of 1616560000 is 656161.

It is a super-2 number, since 2×1616560000² = 5226532467200000000, which 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 29 ways as a sum of consecutive naturals, for example, 9679917 + ... + 9680083.

Almost surely, 2^1616560000 is an apocalyptic number.

1616560000 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 1616560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224959660).

1616560000 is an abundant number, since it is smaller than the sum of its proper divisors (2833359320).

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

1616560000 is an equidigital number, since it uses as much as digits as its factorization.

1616560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 1616560000 is about 40206.4671414935. The cubic root of 1616560000 is about 1173.6283980144.

The spelling of 1616560000 in words is "one billion, six hundred sixteen million, five hundred sixty thousand".