1566400000 has 240 divisors, whose sum is σ = 4315505040. Its totient is φ = 563200000.

The previous prime is 1566399983. The next prime is 1566400007. The reversal of 1566400000 is 46651.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1566400007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17599956 + ... + 17600044.

It is an arithmetic number, because the mean of its divisors is an integer number (17981271).

Almost surely, 2^1566400000 is an apocalyptic number.

1566400000 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 1566400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157752520).

1566400000 is an abundant number, since it is smaller than the sum of its proper divisors (2749105040).

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

1566400000 is an frugal number, since it uses more digits than its factorization.

1566400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1566400000 is about 39577.7715390849. The cubic root of 1566400000 is about 1161.3618567378.

Adding to 1566400000 its reverse (46651), we get a palindrome (1566446651).

The spelling of 1566400000 in words is "one billion, five hundred sixty-six million, four hundred thousand".